Finding the Fourth Proportional to 9,165.96, 12,648.53 and 5,186.43

Step by Step Solution

1. Step 1: Write the proportion equation
   9,165.96 : 12,648.53 = 5,186.43 : x
2. Step 2: Convert to fraction form
   9,165.96/12,648.53 = 5,186.43/x
3. Step 3: Cross multiply
   9,165.96x = 12,648.53 × 5,186.43
4. Step 4: Simplify right side
   9,165.96x = 65,600,689.52
5. Step 5: Solve for x
   x = 65,600,689.52/9,165.96
6. Step 6: Final answer
   x = 7,156.99