$\begin{array}{l}\text{Here,}\\ \\ \Rightarrow \text{\hspace{0.17em}\hspace{0.17em}64\% of ?}÷\text{14 = 176}\\ \\ \Rightarrow \text{\hspace{0.17em}\hspace{0.17em}64\% of ?}=\text{176}\times \text{14}\\ \\ \Rightarrow \text{\hspace{0.17em}\hspace{0.17em}?=}\frac{176\times 14}{64}\times 100\\ \\ \Rightarrow ?=\frac{2464\times 100}{64}\Rightarrow ?=38.5\times 100\\ \\ \Rightarrow ?=3850\end{array}$

Hence, Option C is correct.