Finding the Fourth Proportional to 1,023.42, 1,412.42 and 581.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.42 : 1,412.42 = 581.46 : x
2. Step 2: Convert to fraction form
   1,023.42/1,412.42 = 581.46/x
3. Step 3: Cross multiply
   1,023.42x = 1,412.42 × 581.46
4. Step 4: Simplify right side
   1,023.42x = 821,265.73
5. Step 5: Solve for x
   x = 821,265.73/1,023.42
6. Step 6: Final answer
   x = 802.47