Finding the Fourth Proportional to 2,563.98, 3,538.67 and 1,569.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.98 : 3,538.67 = 1,569.10 : x
2. Step 2: Convert to fraction form
   2,563.98/3,538.67 = 1,569.10/x
3. Step 3: Cross multiply
   2,563.98x = 3,538.67 × 1,569.10
4. Step 4: Simplify right side
   2,563.98x = 5,552,527.10
5. Step 5: Solve for x
   x = 5,552,527.10/2,563.98
6. Step 6: Final answer
   x = 2,165.59