As the FX1000 was released in 2014 and 43 & M43 were well established by then I think it's highly unlikely that Panasonic would use a different flash fitting. It would help to know what flash you have as that would make it easier to check.
thanks, looking at both a Meike MK320 and G7 (separately), own FZ300 and FZ1000
this composite picture of hotshoes taken from online photos.
If you have not already done, download the Panasonic PDF G7 Manual.

Screenshot of G7 manual using external flash.
I did a online search for the DMW-FL360L and DMW-FL580L. Each flash only has just the three contacts in addition to the center contact.

DMW-FL360L online pic
Need to see you can find out what's the G7 4th hotshoe for; if used for any special purposes.