Fortuitously
Part of speech: adverb
Definition: In a fortuitous manner.
Fortunately
Part of speech: adverb
Definition: In a fortunate manner.It is (or was, etc) fortunate that.
Example sentence: If you believe in Cinderella, and if you can suspend your disbelief at midnight, then you can believe in the interdisciplinary midnight, the 'in-betweens,' and become fortunately entangled, moving from art to science.