Finding the Fourth Proportional to 12,766.18, 17,614.80 and 7,459.98

Step by Step Solution

1. Step 1: Write the proportion equation
   12,766.18 : 17,614.80 = 7,459.98 : x
2. Step 2: Convert to fraction form
   12,766.18/17,614.80 = 7,459.98/x
3. Step 3: Cross multiply
   12,766.18x = 17,614.80 × 7,459.98
4. Step 4: Simplify right side
   12,766.18x = 131,406,055.70
5. Step 5: Solve for x
   x = 131,406,055.70/12,766.18
6. Step 6: Final answer
   x = 10,293.29