The imedia S3210 looks as if it is in a microATX case and I would be careful about two things before leaping in and buying a 5770. First of all will it fit? Some of the smaller cases requre a low profile graphics card, so check on the headroom that you have. Secondly, how big is your power supply? Will it support the 5770? Take a look at these requirements you will need a 450W power supply with a 6pin PCIe power connector. The small case may have a custom power supply, better check if you can get one or maybe even think about putting the whole thing in a bigger case.
What is ransomware and how do I protect my PC from WannaCry?