Finding the Fourth Proportional to 31,414.50, 47,109.78 and 13,874.76

Step by Step Solution

1. Step 1: Write the proportion equation
   31,414.50 : 47,109.78 = 13,874.76 : x
2. Step 2: Convert to fraction form
   31,414.50/47,109.78 = 13,874.76/x
3. Step 3: Cross multiply
   31,414.50x = 47,109.78 × 13,874.76
4. Step 4: Simplify right side
   31,414.50x = 653,636,891.15
5. Step 5: Solve for x
   x = 653,636,891.15/31,414.50
6. Step 6: Final answer
   x = 20,806.85