Finding the Fourth Proportional to 1,023.16, 1,411.89 and 581.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.16 : 1,411.89 = 581.07 : x
2. Step 2: Convert to fraction form
   1,023.16/1,411.89 = 581.07/x
3. Step 3: Cross multiply
   1,023.16x = 1,411.89 × 581.07
4. Step 4: Simplify right side
   1,023.16x = 820,406.92
5. Step 5: Solve for x
   x = 820,406.92/1,023.16
6. Step 6: Final answer
   x = 801.84