To solve for \( x \) in the equation \( \frac{4}{7} = \frac{x}{56} \), we can use cross-multiplication:
\[ 4 \cdot 56 = 7 \cdot x \]
Calculating the left side:
\[ 4 \cdot 56 = 224 \]
So we have:
\[ 224 = 7x \]
Next, we divide both sides by 7 to isolate \( x \):
\[ x = \frac{224}{7} \]
Calculating \( \frac{224}{7} \):
\[ x = 32 \]
Thus, the best answer is:
\[ \boxed{32} \]