Finding the Fourth Proportional to 31,854.42, 47,790.27 and 9,668.52

Step by Step Solution

1. Step 1: Write the proportion equation
   31,854.42 : 47,790.27 = 9,668.52 : x
2. Step 2: Convert to fraction form
   31,854.42/47,790.27 = 9,668.52/x
3. Step 3: Cross multiply
   31,854.42x = 47,790.27 × 9,668.52
4. Step 4: Simplify right side
   31,854.42x = 462,061,181.30
5. Step 5: Solve for x
   x = 462,061,181.30/31,854.42
6. Step 6: Final answer
   x = 14,505.40