Finding the Fourth Proportional to 12,166.29, 18,241.74 and 5,142.69

Step by Step Solution

1. Step 1: Write the proportion equation
   12,166.29 : 18,241.74 = 5,142.69 : x
2. Step 2: Convert to fraction form
   12,166.29/18,241.74 = 5,142.69/x
3. Step 3: Cross multiply
   12,166.29x = 18,241.74 × 5,142.69
4. Step 4: Simplify right side
   12,166.29x = 93,811,613.88
5. Step 5: Solve for x
   x = 93,811,613.88/12,166.29
6. Step 6: Final answer
   x = 7,710.78