Unidentified cartridge

#1

Hi,
Can anyone help identify this cartridge please? Bought mail order as “9mm Largo” when it arrived it quite plainly wasn’t, but I can’t work out what it is.

Brass case, nickel bullet, no headstamp, bullet secured with 3 centre punch marks.
Dimensions mm:
bullet diameter 8, case diameter, 8.57 at mouth, 9.52 at base. case length 22.2 total length 31

IMG_0176

#2

8x22 Bergmann No 4?

#3

It certainly looks like it. Many thanks.