Finding the Fourth Proportional to 1,022.64, 1,411.28 and 580.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.64 : 1,411.28 = 580.55 : x
2. Step 2: Convert to fraction form
   1,022.64/1,411.28 = 580.55/x
3. Step 3: Cross multiply
   1,022.64x = 1,411.28 × 580.55
4. Step 4: Simplify right side
   1,022.64x = 819,308.64
5. Step 5: Solve for x
   x = 819,308.64/1,022.64
6. Step 6: Final answer
   x = 801.17