Finding the Fourth Proportional to 9,165.32, 12,649.17 and 5,186.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,165.32 : 12,649.17 = 5,186.69 : x
2. Step 2: Convert to fraction form
   9,165.32/12,649.17 = 5,186.69/x
3. Step 3: Cross multiply
   9,165.32x = 12,649.17 × 5,186.69
4. Step 4: Simplify right side
   9,165.32x = 65,607,234.37
5. Step 5: Solve for x
   x = 65,607,234.37/9,165.32
6. Step 6: Final answer
   x = 7,158.21