I Googled Schwinn serial number database and have not been able to turn up anything past 1982.
I have a bike that is newer than this and was wondering how I could find out what year it is?

It is a le tour II and the serial number starts F726120 and it is located on the rear left of the frame by where the rear tire hooks in...

I was hoping someone might point me in the right direction.

The schwinn metal badge that says Schwinn Approved Japan has the number 1887 on it.

The rear dérailleur is "Schwinn approved gt 420 Le Tour"