Finding the Fourth Proportional to 1,023.32, 1,412.24 and 581.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.32 : 1,412.24 = 581.31 : x
2. Step 2: Convert to fraction form
   1,023.32/1,412.24 = 581.31/x
3. Step 3: Cross multiply
   1,023.32x = 1,412.24 × 581.31
4. Step 4: Simplify right side
   1,023.32x = 820,946.33
5. Step 5: Solve for x
   x = 820,946.33/1,023.32
6. Step 6: Final answer
   x = 802.24