Finding the Fourth Proportional to 78.72, 108.64 and 53.52

Step by Step Solution

1. Step 1: Write the proportion equation
   78.72 : 108.64 = 53.52 : x
2. Step 2: Convert to fraction form
   78.72/108.64 = 53.52/x
3. Step 3: Cross multiply
   78.72x = 108.64 × 53.52
4. Step 4: Simplify right side
   78.72x = 5,814.41
5. Step 5: Solve for x
   x = 5,814.41/78.72
6. Step 6: Final answer
   x = 73.86