Finding the Fourth Proportional to 1,023.30, 1,412.10 and 581.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.30 : 1,412.10 = 581.10 : x
2. Step 2: Convert to fraction form
   1,023.30/1,412.10 = 581.10/x
3. Step 3: Cross multiply
   1,023.30x = 1,412.10 × 581.10
4. Step 4: Simplify right side
   1,023.30x = 820,571.31
5. Step 5: Solve for x
   x = 820,571.31/1,023.30
6. Step 6: Final answer
   x = 801.89