Finding the Fourth Proportional to 1,023.72, 1,412.69 and 581.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.72 : 1,412.69 = 581.57 : x
2. Step 2: Convert to fraction form
   1,023.72/1,412.69 = 581.57/x
3. Step 3: Cross multiply
   1,023.72x = 1,412.69 × 581.57
4. Step 4: Simplify right side
   1,023.72x = 821,568.15
5. Step 5: Solve for x
   x = 821,568.15/1,023.72
6. Step 6: Final answer
   x = 802.53