Finding the Fourth Proportional to 1,022.55, 1,411.05 and 580.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.55 : 1,411.05 = 580.53 : x
2. Step 2: Convert to fraction form
   1,022.55/1,411.05 = 580.53/x
3. Step 3: Cross multiply
   1,022.55x = 1,411.05 × 580.53
4. Step 4: Simplify right side
   1,022.55x = 819,156.86
5. Step 5: Solve for x
   x = 819,156.86/1,022.55
6. Step 6: Final answer
   x = 801.09