Finding the Fourth Proportional to 10,265.16, 14,165.94 and 5,549.45

Step by Step Solution

1. Step 1: Write the proportion equation
   10,265.16 : 14,165.94 = 5,549.45 : x
2. Step 2: Convert to fraction form
   10,265.16/14,165.94 = 5,549.45/x
3. Step 3: Cross multiply
   10,265.16x = 14,165.94 × 5,549.45
4. Step 4: Simplify right side
   10,265.16x = 78,613,104.90
5. Step 5: Solve for x
   x = 78,613,104.90/10,265.16
6. Step 6: Final answer
   x = 7,658.24