Finding the Fourth Proportional to 10,265.09, 14,165.82 and 5,549.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,265.09 : 14,165.82 = 5,549.40 : x
2. Step 2: Convert to fraction form
   10,265.09/14,165.82 = 5,549.40/x
3. Step 3: Cross multiply
   10,265.09x = 14,165.82 × 5,549.40
4. Step 4: Simplify right side
   10,265.09x = 78,611,801.51
5. Step 5: Solve for x
   x = 78,611,801.51/10,265.09
6. Step 6: Final answer
   x = 7,658.17