Finding the Fourth Proportional to 9,165.86, 12,648.77 and 5,186.87

Step by Step Solution

1. Step 1: Write the proportion equation
   9,165.86 : 12,648.77 = 5,186.87 : x
2. Step 2: Convert to fraction form
   9,165.86/12,648.77 = 5,186.87/x
3. Step 3: Cross multiply
   9,165.86x = 12,648.77 × 5,186.87
4. Step 4: Simplify right side
   9,165.86x = 65,607,532.53
5. Step 5: Solve for x
   x = 65,607,532.53/9,165.86
6. Step 6: Final answer
   x = 7,157.82