Finding the Fourth Proportional to 1,023.09, 1,411.89 and 581.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.09 : 1,411.89 = 581.06 : x
2. Step 2: Convert to fraction form
   1,023.09/1,411.89 = 581.06/x
3. Step 3: Cross multiply
   1,023.09x = 1,411.89 × 581.06
4. Step 4: Simplify right side
   1,023.09x = 820,392.80
5. Step 5: Solve for x
   x = 820,392.80/1,023.09
6. Step 6: Final answer
   x = 801.88