[fawr-too-i-tuhs, -tyoo-]
happening or produced by chance; accidental: a fortuitous encounter.
lucky; fortunate: a series of fortuitous events that advanced her career.

1645–55; < Latin fortuitus, fortuītus, equivalent to fortu- (u-stem base, otherwise unattested, akin to fors, genitive fortis chance, luck) + -itus, -ītus adj. suffix (for formation cf. gratuitous); see -ous

fortuitously, adverb
fortuitousness, noun
nonfortuitous, adjective
nonfortuitously, adverb
nonfortuitousness, noun
unfortuitous, adjective
unfortuitously, adverb
unfortuitousness, noun

felicitous, fortuitous, fortunate (see usage note at the current entry).

1. incidental. See accidental.

Fortuitous has developed in sense from “happening by chance” to “happening by lucky chance” to simply “lucky, fortunate.” This development was probably influenced by the similarity of fortuitous to fortunate and perhaps to felicitous: A fortuitous late-night snowfall made for a day of great skiing.
Many object to the use of fortuitous to mean simply “fortunate” and insist that it should be limited to its original sense of “accidental.” In modern standard use, however, fortuitous almost always carries the senses both of accident or chance and luck or fortune. It is infrequently used in its sense of “accidental” without the suggestion of good luck, and even less frequently in the sense “lucky” without at least a suggestion of accident or chance: A fortuitous encounter with a former schoolmate led to a new and successful career for the artist. Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
fortuitous (fɔːˈtjuːɪtəs)
happening by chance, esp by a lucky chance; unplanned; accidental
[C17: from Latin fortuitus happening by chance, from forte by chance, from fors chance, luck]

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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Word Origin & History

1650s, from L. fortuitus, from forte "by chance," abl. of fors "chance." It means "accidental, undesigned" not "fortunate." Related: Fortuitously.
Online Etymology Dictionary, © 2010 Douglas Harper
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Example sentences
Fortuitously, they discover that a mine belonging to the kids' late father is
  worth millions.
Fortuitously, legalization is the right policy for a slew of other reasons.
The location of the headquarters came about more fortuitously, however.
If people in power are responsible, then, what failure may happen fortuitously
  may not be so tragic in its consequences.
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