Finding the Fourth Proportional to 2,564.80, 3,538.56 and 1,569.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.80 : 3,538.56 = 1,569.52 : x
2. Step 2: Convert to fraction form
   2,564.80/3,538.56 = 1,569.52/x
3. Step 3: Cross multiply
   2,564.80x = 3,538.56 × 1,569.52
4. Step 4: Simplify right side
   2,564.80x = 5,553,840.69
5. Step 5: Solve for x
   x = 5,553,840.69/2,564.80
6. Step 6: Final answer
   x = 2,165.41