Finding the Fourth Proportional to 9,165.72, 12,648.60 and 5,186.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,165.72 : 12,648.60 = 5,186.76 : x
2. Step 2: Convert to fraction form
   9,165.72/12,648.60 = 5,186.76/x
3. Step 3: Cross multiply
   9,165.72x = 12,648.60 × 5,186.76
4. Step 4: Simplify right side
   9,165.72x = 65,605,252.54
5. Step 5: Solve for x
   x = 65,605,252.54/9,165.72
6. Step 6: Final answer
   x = 7,157.68