Finding the Fourth Proportional to 10,265.10, 14,165.76 and 5,549.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,265.10 : 14,165.76 = 5,549.40 : x
2. Step 2: Convert to fraction form
   10,265.10/14,165.76 = 5,549.40/x
3. Step 3: Cross multiply
   10,265.10x = 14,165.76 × 5,549.40
4. Step 4: Simplify right side
   10,265.10x = 78,611,468.54
5. Step 5: Solve for x
   x = 78,611,468.54/10,265.10
6. Step 6: Final answer
   x = 7,658.13