Finding the Fourth Proportional to 9,166.50, 12,650.58 and 5,187.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,166.50 : 12,650.58 = 5,187.78 : x
2. Step 2: Convert to fraction form
   9,166.50/12,650.58 = 5,187.78/x
3. Step 3: Cross multiply
   9,166.50x = 12,650.58 × 5,187.78
4. Step 4: Simplify right side
   9,166.50x = 65,628,425.91
5. Step 5: Solve for x
   x = 65,628,425.91/9,166.50
6. Step 6: Final answer
   x = 7,159.59