Note: Will need to update Multiman and other file Managers possibly.
Step 1: Download the file from the link below and extract the folder PS3.
Step 2: Check to make sure that its set as the following PS3/UPDATE/PS3UPDAT.PUP
Step 3: Place the PS3 folder with the files inside as well onto a Flash drive and plug into CEX Base CFW PS3
Step 4: Go to system Update and "Update Via storage media" and you should see the 4.76 PS3 Update
Step 5: Install the update and wait for the prompts and reboots. and there ya have it.