To solve the equation \( \frac{4}{7} = \frac{x}{56} \), we can use cross-multiplication.
Cross-multiplying gives us:
\[ 4 \cdot 56 = 7 \cdot x \]
Calculating \( 4 \cdot 56 \):
\[ 4 \cdot 56 = 224 \]
Now we have:
\[ 224 = 7x \]
Next, we can solve for \( x \) by dividing both sides by 7:
\[ x = \frac{224}{7} \]
Calculating \( \frac{224}{7} \):
\[ 224 \div 7 = 32 \]
Thus, the value of \( x \) is:
\[ x = 32 \]
The best answer is:
A. 32.