Finding the Fourth Proportional to 9,592.10, 13,234.50 and 5,614.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,592.10 : 13,234.50 = 5,614.20 : x
2. Step 2: Convert to fraction form
   9,592.10/13,234.50 = 5,614.20/x
3. Step 3: Cross multiply
   9,592.10x = 13,234.50 × 5,614.20
4. Step 4: Simplify right side
   9,592.10x = 74,301,129.90
5. Step 5: Solve for x
   x = 74,301,129.90/9,592.10
6. Step 6: Final answer
   x = 7,746.08