Finding the Fourth Proportional to 31,339.71, 47,008.78 and 7,647.42

Step by Step Solution

1. Step 1: Write the proportion equation
   31,339.71 : 47,008.78 = 7,647.42 : x
2. Step 2: Convert to fraction form
   31,339.71/47,008.78 = 7,647.42/x
3. Step 3: Cross multiply
   31,339.71x = 47,008.78 × 7,647.42
4. Step 4: Simplify right side
   31,339.71x = 359,495,884.35
5. Step 5: Solve for x
   x = 359,495,884.35/31,339.71
6. Step 6: Final answer
   x = 11,470.94