Finding the Fourth Proportional to 71.24, 106.89 and 38.72

Step by Step Solution

1. Step 1: Write the proportion equation
   71.24 : 106.89 = 38.72 : x
2. Step 2: Convert to fraction form
   71.24/106.89 = 38.72/x
3. Step 3: Cross multiply
   71.24x = 106.89 × 38.72
4. Step 4: Simplify right side
   71.24x = 4,138.78
5. Step 5: Solve for x
   x = 4,138.78/71.24
6. Step 6: Final answer
   x = 58.10