Finding the Fourth Proportional to 2,562.48, 3,842.88 and 1,023.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.48 : 3,842.88 = 1,023.12 : x
2. Step 2: Convert to fraction form
   2,562.48/3,842.88 = 1,023.12/x
3. Step 3: Cross multiply
   2,562.48x = 3,842.88 × 1,023.12
4. Step 4: Simplify right side
   2,562.48x = 3,931,727.39
5. Step 5: Solve for x
   x = 3,931,727.39/2,562.48
6. Step 6: Final answer
   x = 1,534.34