Finding the Fourth Proportional to 1,022.83, 1,411.38 and 580.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.83 : 1,411.38 = 580.73 : x
2. Step 2: Convert to fraction form
   1,022.83/1,411.38 = 580.73/x
3. Step 3: Cross multiply
   1,022.83x = 1,411.38 × 580.73
4. Step 4: Simplify right side
   1,022.83x = 819,623.65
5. Step 5: Solve for x
   x = 819,623.65/1,022.83
6. Step 6: Final answer
   x = 801.33