Finding the Fourth Proportional to 1,023.38, 1,412.22 and 581.39

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.38 : 1,412.22 = 581.39 : x
2. Step 2: Convert to fraction form
   1,023.38/1,412.22 = 581.39/x
3. Step 3: Cross multiply
   1,023.38x = 1,412.22 × 581.39
4. Step 4: Simplify right side
   1,023.38x = 821,050.59
5. Step 5: Solve for x
   x = 821,050.59/1,023.38
6. Step 6: Final answer
   x = 802.29