Finding the Fourth Proportional to 1,285.69, 1,774.27 and 726.11

Step by Step Solution

1. Step 1: Write the proportion equation
   1,285.69 : 1,774.27 = 726.11 : x
2. Step 2: Convert to fraction form
   1,285.69/1,774.27 = 726.11/x
3. Step 3: Cross multiply
   1,285.69x = 1,774.27 × 726.11
4. Step 4: Simplify right side
   1,285.69x = 1,288,323.86
5. Step 5: Solve for x
   x = 1,288,323.86/1,285.69
6. Step 6: Final answer
   x = 1,002.05