0.876 is your answer, because it rounds to 0.88 (88 hundredths)
As you know, the hundredths place is two numbers to the right of the decimal. And 4 & below in the next position round down, while 5 & up round up.
So number / rounded:
0.088 / 0.09
0.874 / 0.87
0.876 / 0.88
0.869 / 0.87