Finding the Fourth Proportional to 9,174.32, 12,654.12 and 5,632.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,174.32 : 12,654.12 = 5,632.88 : x
2. Step 2: Convert to fraction form
   9,174.32/12,654.12 = 5,632.88/x
3. Step 3: Cross multiply
   9,174.32x = 12,654.12 × 5,632.88
4. Step 4: Simplify right side
   9,174.32x = 71,279,139.47
5. Step 5: Solve for x
   x = 71,279,139.47/9,174.32
6. Step 6: Final answer
   x = 7,769.42