To find \( x \) in the equation \( 4.8^2 + 28.6^2 = x^2 \), we first need to calculate \( 4.8^2 \) and \( 28.6^2 \).
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Calculate \( 4.8^2 \): \[ 4.8^2 = 23.04 \]
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Calculate \( 28.6^2 \): \[ 28.6^2 = 817.96 \]
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Now, add both results: \[ 4.8^2 + 28.6^2 = 23.04 + 817.96 = 841.00 \]
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Now, take the square root to solve for \( x \): \[ x = \sqrt{841} = 29 \]
Thus, the value of \( x \) rounded to the nearest tenth is: \[ \boxed{29.0} \]