Finding the Fourth Proportional to 1,023.20, 1,411.98 and 581.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.20 : 1,411.98 = 581.16 : x
2. Step 2: Convert to fraction form
   1,023.20/1,411.98 = 581.16/x
3. Step 3: Cross multiply
   1,023.20x = 1,411.98 × 581.16
4. Step 4: Simplify right side
   1,023.20x = 820,586.30
5. Step 5: Solve for x
   x = 820,586.30/1,023.20
6. Step 6: Final answer
   x = 801.98