Finding the Fourth Proportional to 31,540.56, 47,308.56 and 8,166.24

Step by Step Solution

1. Step 1: Write the proportion equation
   31,540.56 : 47,308.56 = 8,166.24 : x
2. Step 2: Convert to fraction form
   31,540.56/47,308.56 = 8,166.24/x
3. Step 3: Cross multiply
   31,540.56x = 47,308.56 × 8,166.24
4. Step 4: Simplify right side
   31,540.56x = 386,333,055.01
5. Step 5: Solve for x
   x = 386,333,055.01/31,540.56
6. Step 6: Final answer
   x = 12,248.77