Finding the Fourth Proportional to 10,265.28, 14,166.06 and 5,549.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,265.28 : 14,166.06 = 5,549.55 : x
2. Step 2: Convert to fraction form
   10,265.28/14,166.06 = 5,549.55/x
3. Step 3: Cross multiply
   10,265.28x = 14,166.06 × 5,549.55
4. Step 4: Simplify right side
   10,265.28x = 78,615,258.27
5. Step 5: Solve for x
   x = 78,615,258.27/10,265.28
6. Step 6: Final answer
   x = 7,658.36