Finding the Fourth Proportional to 82,002.24, 123,020.05 and 31,397.68

Step by Step Solution

1. Step 1: Write the proportion equation
   82,002.24 : 123,020.05 = 31,397.68 : x
2. Step 2: Convert to fraction form
   82,002.24/123,020.05 = 31,397.68/x
3. Step 3: Cross multiply
   82,002.24x = 123,020.05 × 31,397.68
4. Step 4: Simplify right side
   82,002.24x = 3,862,544,163.48
5. Step 5: Solve for x
   x = 3,862,544,163.48/82,002.24
6. Step 6: Final answer
   x = 47,102.91