The acoustic power of a specific sound is determine by multiplying the square of the distance and the threshold of hearing. We have to convert the distance first from kilometers to meters.
distance = (4.6 km) x (1000 meters/ 1 km) = 4600 meters
Performing the required operation,
Acoustic power = (1.0 x 10^-12 W/m²)(4600 m)²
Acoustic power = 2.116 x 10^-5 W
Thus, the acoustic power is approximately 2.12 x 10^-5 W.