Navion pilot reported an engine malfunction due to running out of fuel during final approach. Pilot was able to land safely.

Narrative

On short final to ZZZ Rwy XX; had loss of power on engine. Realized I wouldn't be able make it to Rwy XX; advised ATC and stated I needed to land Rwy XY; which was closer. Tower cleared me to land Rwy XY. Landed safely on Rwy XY and upon clearing Rwy XY; engine died.This was a self-induced emergency. In flight back from ZZZ1 (55nm trip) I selected the RT (right) tip-tank to balance the fuel between tip-tanks. I didn't set a timer and forgot to return fuel selector to main after 10 mins. Ran out of fuel in right tip tank on descent to Rwy XX. ZZZ tower directed me to follow aircraft ahead of me and cleared me land Rwy XX. At 3NM; I put gear and flaps down and started descent and was getting ready to start landing checklist. Engine started to lose power passing 6100ft and 2.5nm from runway. I immediately realized fuel selector was in right position and switched it to main. I also turn on fuel boost pump. Engine still was not producing power; so notified tower I was requesting priority and needed to land RWY XY. Tower cleared me to land Rwy XY. I started to get engine power crossing the threshold for Rwy XY and safely landed on runway. After landing; turned off runway onto taxiway 1 and engine died. I was unable to restart engine due to engine flooding and being hot. Ground crew taxied me back to hanger.