Do you just fasten (tie/tape) the HDMI cable to one of the existing cables and pull it thru?
My house has wiring for surround sound that has speaker and RGB and coax running into a closet about 60 feet from the TV. I don't have any need for the RGB OR coax cable but would like to run an HDMI cable thru to the closet where I'm also going to have my audio receiver.