Egan came to prominence in his teens when he was playing at Onwentsia Club and attending University School on the north side of Chicago. The same year he astonished his elders by taking second to David Forgan in the Western Amateur. In 1901, Egan was the runner-up in the United States. Amateur.
Egan compete in the 1904 Summer Olympics.
He finished 19th in this competition. In the individual competition, he finished fourth in the qualification and was eliminated in the first round of the match play.