Finding the Fourth Proportional to 9,166.28, 12,650.24 and 5,188.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,166.28 : 12,650.24 = 5,188.10 : x
2. Step 2: Convert to fraction form
   9,166.28/12,650.24 = 5,188.10/x
3. Step 3: Cross multiply
   9,166.28x = 12,650.24 × 5,188.10
4. Step 4: Simplify right side
   9,166.28x = 65,630,659.86
5. Step 5: Solve for x
   x = 65,630,659.86/9,166.28
6. Step 6: Final answer
   x = 7,160.01