Finding the Fourth Proportional to 1,023.28, 1,411.98 and 581.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.28 : 1,411.98 = 581.05 : x
2. Step 2: Convert to fraction form
   1,023.28/1,411.98 = 581.05/x
3. Step 3: Cross multiply
   1,023.28x = 1,411.98 × 581.05
4. Step 4: Simplify right side
   1,023.28x = 820,430.98
5. Step 5: Solve for x
   x = 820,430.98/1,023.28
6. Step 6: Final answer
   x = 801.77