Finding the Fourth Proportional to 1,023.71, 1,412.83 and 581.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.71 : 1,412.83 = 581.57 : x
2. Step 2: Convert to fraction form
   1,023.71/1,412.83 = 581.57/x
3. Step 3: Cross multiply
   1,023.71x = 1,412.83 × 581.57
4. Step 4: Simplify right side
   1,023.71x = 821,649.57
5. Step 5: Solve for x
   x = 821,649.57/1,023.71
6. Step 6: Final answer
   x = 802.62