Predetermined Save As Location

I've been looking around for a solution for my problem but I cant seem to find it. I've read in a few places that you cant disable the Save as prompt you get after signing a document. So, my question is, can I assign a predetermined location for where I want the file to be saved for everyone who signs the document? I don't want the signer to have to look for the location, I want it to automatically open to the correct place and the signer just hits "save."

I have a document that needs to be signed by 4 different people. I know how to assign an action to each signature to prompt an email to the next person with the PDF attached. However,  since this only sends the PDF as a stand alone file, I want the signers to all be saving to the same location on our network, essentially overriding the previous persons file so at the end I have one document with all 4 signatures.

Thanks!