Finding the Fourth Proportional to 1,022.68, 1,411.05 and 580.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.68 : 1,411.05 = 580.42 : x
2. Step 2: Convert to fraction form
   1,022.68/1,411.05 = 580.42/x
3. Step 3: Cross multiply
   1,022.68x = 1,411.05 × 580.42
4. Step 4: Simplify right side
   1,022.68x = 819,001.64
5. Step 5: Solve for x
   x = 819,001.64/1,022.68
6. Step 6: Final answer
   x = 800.84