How do I connect my wireless photosmart hp C4585 all in one printer to my wi-fi?

A: Download its driver first. After download, double-click on the downloaded file and then select “Wireless Setup” and then follow it's on-screen remaining instructions. Please checkout this video tutorial that will show you how to install HP c4585 driver on your computer through Wi-Fi.

Alternatively, the best option is to install this 4585 printer wirelessly on your computer, first install it through USB and then you can easily convert your connection from USB to Wi-Fi connection. It is easier than setting up directly wireless set up because it will set most of the Wi-Fi settings in printer through USB cable.

So please try it and let me know if you want to ask any more questions regarding this.