Finding the Fourth Proportional to 2,563.56, 3,842.46 and 1,023.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.56 : 3,842.46 = 1,023.08 : x
2. Step 2: Convert to fraction form
   2,563.56/3,842.46 = 1,023.08/x
3. Step 3: Cross multiply
   2,563.56x = 3,842.46 × 1,023.08
4. Step 4: Simplify right side
   2,563.56x = 3,931,143.98
5. Step 5: Solve for x
   x = 3,931,143.98/2,563.56
6. Step 6: Final answer
   x = 1,533.47