Finding the Fourth Proportional to 31,516.56, 47,272.68 and 8,142.12

Step by Step Solution

1. Step 1: Write the proportion equation
   31,516.56 : 47,272.68 = 8,142.12 : x
2. Step 2: Convert to fraction form
   31,516.56/47,272.68 = 8,142.12/x
3. Step 3: Cross multiply
   31,516.56x = 47,272.68 × 8,142.12
4. Step 4: Simplify right side
   31,516.56x = 384,899,833.28
5. Step 5: Solve for x
   x = 384,899,833.28/31,516.56
6. Step 6: Final answer
   x = 12,212.62