Finding the Fourth Proportional to 2,563.56, 3,826.61 and 2,200.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.56 : 3,826.61 = 2,200.68 : x
2. Step 2: Convert to fraction form
   2,563.56/3,826.61 = 2,200.68/x
3. Step 3: Cross multiply
   2,563.56x = 3,826.61 × 2,200.68
4. Step 4: Simplify right side
   2,563.56x = 8,421,144.09
5. Step 5: Solve for x
   x = 8,421,144.09/2,563.56
6. Step 6: Final answer
   x = 3,284.94