Finding the Fourth Proportional to 1,023.22, 1,411.86 and 581.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.22 : 1,411.86 = 581.23 : x
2. Step 2: Convert to fraction form
   1,023.22/1,411.86 = 581.23/x
3. Step 3: Cross multiply
   1,023.22x = 1,411.86 × 581.23
4. Step 4: Simplify right side
   1,023.22x = 820,615.39
5. Step 5: Solve for x
   x = 820,615.39/1,023.22
6. Step 6: Final answer
   x = 801.99