Finding the Fourth Proportional to 1,022.31, 1,410.83 and 580.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.31 : 1,410.83 = 580.20 : x
2. Step 2: Convert to fraction form
   1,022.31/1,410.83 = 580.20/x
3. Step 3: Cross multiply
   1,022.31x = 1,410.83 × 580.20
4. Step 4: Simplify right side
   1,022.31x = 818,560.67
5. Step 5: Solve for x
   x = 818,560.67/1,022.31
6. Step 6: Final answer
   x = 800.70