Finding the Fourth Proportional to 1,022.86, 1,411.57 and 580.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.86 : 1,411.57 = 580.72 : x
2. Step 2: Convert to fraction form
   1,022.86/1,411.57 = 580.72/x
3. Step 3: Cross multiply
   1,022.86x = 1,411.57 × 580.72
4. Step 4: Simplify right side
   1,022.86x = 819,726.93
5. Step 5: Solve for x
   x = 819,726.93/1,022.86
6. Step 6: Final answer
   x = 801.41