Finding the Fourth Proportional to 10,265.41, 14,166.24 and 5,549.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,265.41 : 14,166.24 = 5,549.68 : x
2. Step 2: Convert to fraction form
   10,265.41/14,166.24 = 5,549.68/x
3. Step 3: Cross multiply
   10,265.41x = 14,166.24 × 5,549.68
4. Step 4: Simplify right side
   10,265.41x = 78,618,098.80
5. Step 5: Solve for x
   x = 78,618,098.80/10,265.41
6. Step 6: Final answer
   x = 7,658.54