Finding the Fourth Proportional to 1,100.38, 1,517.52 and 726.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.38 : 1,517.52 = 726.98 : x
2. Step 2: Convert to fraction form
   1,100.38/1,517.52 = 726.98/x
3. Step 3: Cross multiply
   1,100.38x = 1,517.52 × 726.98
4. Step 4: Simplify right side
   1,100.38x = 1,103,206.69
5. Step 5: Solve for x
   x = 1,103,206.69/1,100.38
6. Step 6: Final answer
   x = 1,002.57