To solve the proportion \( \frac{15.04}{26.88} = \frac{m}{268.8} \), we can use cross-multiplication.
Cross-multiplying gives us:
\[ 15.04 \times 268.8 = 26.88 \times m \]
Now we'll calculate \( 15.04 \times 268.8 \):
\[ 15.04 \times 268.8 = 4046.592 \]
So, we have:
\[ 4046.592 = 26.88 \times m \]
Now, we can solve for \( m \):
\[ m = \frac{4046.592}{26.88} \]
Calculating this gives:
\[ m \approx 150.0 \]
Thus, the value of \( m \) is approximately \( 150.0 \).