Finding the Fourth Proportional to 3,744.56, 5,162.64 and 2,563.52

Step by Step Solution

1. Step 1: Write the proportion equation
   3,744.56 : 5,162.64 = 2,563.52 : x
2. Step 2: Convert to fraction form
   3,744.56/5,162.64 = 2,563.52/x
3. Step 3: Cross multiply
   3,744.56x = 5,162.64 × 2,563.52
4. Step 4: Simplify right side
   3,744.56x = 13,234,530.89
5. Step 5: Solve for x
   x = 13,234,530.89/3,744.56
6. Step 6: Final answer
   x = 3,534.34