Finding the Fourth Proportional to 9,165.06, 12,648.07 and 5,186.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,165.06 : 12,648.07 = 5,186.10 : x
2. Step 2: Convert to fraction form
   9,165.06/12,648.07 = 5,186.10/x
3. Step 3: Cross multiply
   9,165.06x = 12,648.07 × 5,186.10
4. Step 4: Simplify right side
   9,165.06x = 65,594,155.83
5. Step 5: Solve for x
   x = 65,594,155.83/9,165.06
6. Step 6: Final answer
   x = 7,156.98