Finding the Fourth Proportional to 31,882.72, 47,838.72 and 12,165.76

Step by Step Solution

1. Step 1: Write the proportion equation
   31,882.72 : 47,838.72 = 12,165.76 : x
2. Step 2: Convert to fraction form
   31,882.72/47,838.72 = 12,165.76/x
3. Step 3: Cross multiply
   31,882.72x = 47,838.72 × 12,165.76
4. Step 4: Simplify right side
   31,882.72x = 581,994,386.23
5. Step 5: Solve for x
   x = 581,994,386.23/31,882.72
6. Step 6: Final answer
   x = 18,254.23