Finding the Fourth Proportional to 2,564.56, 3,537.84 and 1,569.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.56 : 3,537.84 = 1,569.52 : x
2. Step 2: Convert to fraction form
   2,564.56/3,537.84 = 1,569.52/x
3. Step 3: Cross multiply
   2,564.56x = 3,537.84 × 1,569.52
4. Step 4: Simplify right side
   2,564.56x = 5,552,710.64
5. Step 5: Solve for x
   x = 5,552,710.64/2,564.56
6. Step 6: Final answer
   x = 2,165.17