Finding the Fourth Proportional to 10,265.42, 14,166.25 and 5,549.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,265.42 : 14,166.25 = 5,549.69 : x
2. Step 2: Convert to fraction form
   10,265.42/14,166.25 = 5,549.69/x
3. Step 3: Cross multiply
   10,265.42x = 14,166.25 × 5,549.69
4. Step 4: Simplify right side
   10,265.42x = 78,618,295.96
5. Step 5: Solve for x
   x = 78,618,295.96/10,265.42
6. Step 6: Final answer
   x = 7,658.56