Finding the Fourth Proportional to 1,022.93, 1,411.46 and 580.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.93 : 1,411.46 = 580.80 : x
2. Step 2: Convert to fraction form
   1,022.93/1,411.46 = 580.80/x
3. Step 3: Cross multiply
   1,022.93x = 1,411.46 × 580.80
4. Step 4: Simplify right side
   1,022.93x = 819,780.53
5. Step 5: Solve for x
   x = 819,780.53/1,022.93
6. Step 6: Final answer
   x = 801.41