Finding the Fourth Proportional to 31,142.13, 42,977.43 and 17,715.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,142.13 : 42,977.43 = 17,715.75 : x
2. Step 2: Convert to fraction form
   31,142.13/42,977.43 = 17,715.75/x
3. Step 3: Cross multiply
   31,142.13x = 42,977.43 × 17,715.75
4. Step 4: Simplify right side
   31,142.13x = 761,377,405.52
5. Step 5: Solve for x
   x = 761,377,405.52/31,142.13
6. Step 6: Final answer
   x = 24,448.47