
An early Johno Atherton goal (6) was cancelled out by Khalsa's Robbie Bunn (9) before Chasetown asserted their authority on the game.
Kris Taylor netted on the stroke of half-time to restore the Scholars lead.
Danny Glover bagged one of three good chances he had (64 mins), with substitute Luke Yates rounding off the scoring in the 71st minute.
U23s player Reece Nunn made his second appearance as a second half sub, while U18 player Joey Buckley made his debut from the bench.
Lichfield City are also in the semi-finals with Walsall Wood/Rushall Olympic and Tividale/Hednesfsord yet to play their quarter-final ties.