Finding the Fourth Proportional to 9,165.18, 12,647.85 and 5,132.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,165.18 : 12,647.85 = 5,132.05 : x
2. Step 2: Convert to fraction form
   9,165.18/12,647.85 = 5,132.05/x
3. Step 3: Cross multiply
   9,165.18x = 12,647.85 × 5,132.05
4. Step 4: Simplify right side
   9,165.18x = 64,909,391.03
5. Step 5: Solve for x
   x = 64,909,391.03/9,165.18
6. Step 6: Final answer
   x = 7,082.17