Finding the Fourth Proportional to 2,562.30, 3,843.42 and 1,023.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.30 : 3,843.42 = 1,023.30 : x
2. Step 2: Convert to fraction form
   2,562.30/3,843.42 = 1,023.30/x
3. Step 3: Cross multiply
   2,562.30x = 3,843.42 × 1,023.30
4. Step 4: Simplify right side
   2,562.30x = 3,932,971.69
5. Step 5: Solve for x
   x = 3,932,971.69/2,562.30
6. Step 6: Final answer
   x = 1,534.94