Here, 

$$\begin{gathered} = 5\frac{17}{37}\times 4\frac{51}{52}\times 11\frac{1}{7}+2\frac{3}{4} \\ = \frac{202}{37}\times \frac{259}{52}\times \frac{78}{7}+\frac{11}{4} \end{gathered}$$

We follow the order of BODMAS

$$\begin{gathered} =?=\frac{202\times 7}{52}\times \frac{78}{7}+\frac{11}{4} \\ =?=\frac{101\times 6}{2}+\frac{11}{4} \\ =?=\frac{1212+11}{4}=\frac{1223}{4} \\ =305.75 \end{gathered}$$

Hence, Option B is correct.