Finding the Fourth Proportional to 12,766.16, 17,613 and 7,457.96

Step by Step Solution

1. Step 1: Write the proportion equation
   12,766.16 : 17,613 = 7,457.96 : x
2. Step 2: Convert to fraction form
   12,766.16/17,613 = 7,457.96/x
3. Step 3: Cross multiply
   12,766.16x = 17,613 × 7,457.96
4. Step 4: Simplify right side
   12,766.16x = 131,357,049.48
5. Step 5: Solve for x
   x = 131,357,049.48/12,766.16
6. Step 6: Final answer
   x = 10,289.47