Finding the Fourth Proportional to 31,882.38, 47,819.94 and 8,507

Step by Step Solution

1. Step 1: Write the proportion equation
   31,882.38 : 47,819.94 = 8,507 : x
2. Step 2: Convert to fraction form
   31,882.38/47,819.94 = 8,507/x
3. Step 3: Cross multiply
   31,882.38x = 47,819.94 × 8,507
4. Step 4: Simplify right side
   31,882.38x = 406,804,229.58
5. Step 5: Solve for x
   x = 406,804,229.58/31,882.38
6. Step 6: Final answer
   x = 12,759.53