Finding the Fourth Proportional to 31,784.52, 47,684.49 and 9,596.57

Step by Step Solution

1. Step 1: Write the proportion equation
   31,784.52 : 47,684.49 = 9,596.57 : x
2. Step 2: Convert to fraction form
   31,784.52/47,684.49 = 9,596.57/x
3. Step 3: Cross multiply
   31,784.52x = 47,684.49 × 9,596.57
4. Step 4: Simplify right side
   31,784.52x = 457,607,307.78
5. Step 5: Solve for x
   x = 457,607,307.78/31,784.52
6. Step 6: Final answer
   x = 14,397.18