To solve the proportion \( \frac{7.2}{88.2} = \frac{0.4}{x} \), you can use cross-multiplication.
Cross-multiplying gives us:
\[ 7.2 \cdot x = 0.4 \cdot 88.2 \]
Calculating the right side:
\[ 0.4 \cdot 88.2 = 35.28 \]
Now, we have:
\[ 7.2x = 35.28 \]
To find \( x \), divide both sides by 7.2:
\[ x = \frac{35.28}{7.2} \]
Calculating the division:
\[ x = 4.9 \]
Thus, the value of \( x \) is \( 4.9 \).