Finding the Fourth Proportional to 1,023.69, 1,412.38 and 581.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.69 : 1,412.38 = 581.59 : x
2. Step 2: Convert to fraction form
   1,023.69/1,412.38 = 581.59/x
3. Step 3: Cross multiply
   1,023.69x = 1,412.38 × 581.59
4. Step 4: Simplify right side
   1,023.69x = 821,426.08
5. Step 5: Solve for x
   x = 821,426.08/1,023.69
6. Step 6: Final answer
   x = 802.42