I'm trying to download Final Cut for a Mac OS X Version 10.7.5. Final Cut Pro is for Version 10.10.2 or later. Any suggestions?

You will need Yosemite and you really have three options.

1) Update your system drive.

2) Partition your system drive; install 10,10 on the new partition; download the trial and boot from either partition as necessary.

3) Install 10.10 on a different drive and boot from either your 10.7 or 10.10 drive as necessary.

Naturally, make sure you have a current system backup and have documented important settings before proceeding.

Russ