To find the missing value \( f(4) \) in the function \( f(x) = 3(1.2)^x \), we can substitute \( x = 4 \) into the equation.
\[ f(4) = 3(1.2)^4 \]
Now, we calculate \( (1.2)^4 \):
\[ (1.2)^4 = 1.2 \times 1.2 \times 1.2 \times 1.2 \]
Calculating step by step:
\[ 1.2 \times 1.2 = 1.44 \] \[ 1.44 \times 1.2 = 1.728 \] \[ 1.728 \times 1.2 = 2.0736 \]
Now, substituting back into the function:
\[ f(4) = 3 \times 2.0736 = 6.2208 \]
Rounding to two decimal places:
\[ f(4) \approx 6.22 \]
Therefore, the missing value \( f(4) \) is:
\[ \boxed{6.22} \]
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