How do I connect 3 monitors with eyefinity when all the monitors only have VGA and HDMI ports?

The card appears to have DVI and HDMI sockets.

A full DVI connector has pins for both VGA and HDMI-style digital connections and will run either type of monitor with the appropriate cable or pin adapter.

You can get adaptors for a pound or so to fit the DVIs and convert them to HDMI sockets, or you can just get DVI to HDMI cables.

There is no signal conversion or loss of quality involved, it's purely adapting the connector types.

The only thing is that DVI does not support sound where HDMI does - so if you want sound via built-in speakers on an HDMI monitor, that needs a direct HDMI connection.

With a separate speaker system the lack of DVI audio makes no difference at all..

the best way i can think of is to link a second graphics card the connect all 3 monitors to your pc that way you can run all 3 or get a monitor splitter cable but that should only display the same image on both screens

possibly the photos memory is shared between between 2 of the outputs and the DVI output is of much less priority for the adapter firmware. in basic terms as a results of fact outputs exist it does not advise they they're all concurrently supported. RTFM