Ladder of severity. Picture the Hinchey grades climbing from a contained collection to free soiling:
I = pericolic or mesenteric abscess (local).
II = pelvic abscess (still walled off, deeper).
III = purulent peritonitis (pus is now free in the abdomen).
IV = faecal peritonitis (stool is free in the abdomen, the worst).
Match the case: frank faeces in the peritoneal cavity sits at the very top of this ladder, so it is grade IV. The key discriminator from grade III is pus versus stool, and once faeces are free the grade is IV. This stage carries the highest mortality and typically needs a Hartmann resection with end colostomy. Hence stage IV is correct. Ref: Bailey and Love, Short Practice of Surgery, 27th edition, 2018.