Finding the Fourth Proportional to 1,265.27, 1,744.71 and 1,098.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,265.27 : 1,744.71 = 1,098.05 : x
2. Step 2: Convert to fraction form
   1,265.27/1,744.71 = 1,098.05/x
3. Step 3: Cross multiply
   1,265.27x = 1,744.71 × 1,098.05
4. Step 4: Simplify right side
   1,265.27x = 1,915,778.82
5. Step 5: Solve for x
   x = 1,915,778.82/1,265.27
6. Step 6: Final answer
   x = 1,514.13