How do I transfer files from specific Google Drive (My Drive) folders to Google Shared Drive folders?

Here’s the scenario:

• We scan documents as PDFs into a folder on a Windows file server
• The Windows file server has Google Desktop installed
• When the scanned documents are uploaded to the Windows file server, Google Desktop syncs the folder to a Google Drive (My Drive)
• We then manually transfer the PDFs from the Google Drive to a folder in a Google Shared Drive

What we’re trying to do is automate the file transfer process (the last step above). We’d like this to occur several times a day.

Any guidance would be greatly appreciated!