Finding the Fourth Proportional to 1,022.73, 1,411.37 and 580.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.73 : 1,411.37 = 580.62 : x
2. Step 2: Convert to fraction form
   1,022.73/1,411.37 = 580.62/x
3. Step 3: Cross multiply
   1,022.73x = 1,411.37 × 580.62
4. Step 4: Simplify right side
   1,022.73x = 819,469.54
5. Step 5: Solve for x
   x = 819,469.54/1,022.73
6. Step 6: Final answer
   x = 801.26