Answer
1.21.
Work Step by Step
Find the length for the beam traveling in air.
$$3.00\times10^8m/s=\frac{L}{8.72\times10^{-9}s}$$
$$L=2.616m$$
The speed in the jelly is:
$$v=\frac{2.616m}{(8.72+1.82)\times10^{-9}s }= 2.48\times10^8m/s $$
$$n=\frac{c}{v}=\frac{3.00\times10^8m/s }{2.48\times10^8m/s }=1.21$$