Finding the Fourth Proportional to 31,854.72, 47,781.81 and 8,162.22

Step by Step Solution

1. Step 1: Write the proportion equation
   31,854.72 : 47,781.81 = 8,162.22 : x
2. Step 2: Convert to fraction form
   31,854.72/47,781.81 = 8,162.22/x
3. Step 3: Cross multiply
   31,854.72x = 47,781.81 × 8,162.22
4. Step 4: Simplify right side
   31,854.72x = 390,005,645.22
5. Step 5: Solve for x
   x = 390,005,645.22/31,854.72
6. Step 6: Final answer
   x = 12,243.26