Finding the Fourth Proportional to 10,134.30, 13,985.80 and 5,597.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,134.30 : 13,985.80 = 5,597.61 : x
2. Step 2: Convert to fraction form
   10,134.30/13,985.80 = 5,597.61/x
3. Step 3: Cross multiply
   10,134.30x = 13,985.80 × 5,597.61
4. Step 4: Simplify right side
   10,134.30x = 78,287,037.65
5. Step 5: Solve for x
   x = 78,287,037.65/10,134.30
6. Step 6: Final answer
   x = 7,724.96