Finding the Fourth Proportional to 10,265.30, 14,166.13 and 5,549.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,265.30 : 14,166.13 = 5,549.58 : x
2. Step 2: Convert to fraction form
   10,265.30/14,166.13 = 5,549.58/x
3. Step 3: Cross multiply
   10,265.30x = 14,166.13 × 5,549.58
4. Step 4: Simplify right side
   10,265.30x = 78,616,071.73
5. Step 5: Solve for x
   x = 78,616,071.73/10,265.30
6. Step 6: Final answer
   x = 7,658.43