Sometimes you can get that information by typing in the cards in Google something like
Radeon 4800 vs "Radeon R7 250"
I found thishttp://www.hwcompare.com/15424/radeon-hd-4830-1gb-vs-radeon-r7-250/
There's one thing I see that may be a problem --
Radeon 4800 series is a DirectX 10.1 card
R7 series is DirectX 11.2
We had a question about another game recently where the DirectX version made a difference, and the game couldn't be played with a DirectX 10.1 card. So see if you can find what DirectX version the game needs.
I notice Game-Debate lists lower requirements, but they may not be correct.http://www.game-debate.com/games/index.php?g_id=22038&game=Goetia
There are some demos (French and English) that are linked to on the game website.
That might give you your best answer.http://playgoetia.com/https://sushee.itch.io/goetia
Even though it looks like a simple point-and-click game, there might be lighting effects or other atmospheric effects that require a DirectX 11.2 card.