Finding the Fourth Proportional to 2,564.52, 3,537.88 and 1,569.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.52 : 3,537.88 = 1,569.40 : x
2. Step 2: Convert to fraction form
   2,564.52/3,537.88 = 1,569.40/x
3. Step 3: Cross multiply
   2,564.52x = 3,537.88 × 1,569.40
4. Step 4: Simplify right side
   2,564.52x = 5,552,348.87
5. Step 5: Solve for x
   x = 5,552,348.87/2,564.52
6. Step 6: Final answer
   x = 2,165.06