Finding the Fourth Proportional to 31,773.89, 47,657.18 and 8,402.15

Step by Step Solution

1. Step 1: Write the proportion equation
   31,773.89 : 47,657.18 = 8,402.15 : x
2. Step 2: Convert to fraction form
   31,773.89/47,657.18 = 8,402.15/x
3. Step 3: Cross multiply
   31,773.89x = 47,657.18 × 8,402.15
4. Step 4: Simplify right side
   31,773.89x = 400,422,494.64
5. Step 5: Solve for x
   x = 400,422,494.64/31,773.89
6. Step 6: Final answer
   x = 12,602.25