Finding the Fourth Proportional to 2,564.33, 3,538.71 and 1,569.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.33 : 3,538.71 = 1,569.60 : x
2. Step 2: Convert to fraction form
   2,564.33/3,538.71 = 1,569.60/x
3. Step 3: Cross multiply
   2,564.33x = 3,538.71 × 1,569.60
4. Step 4: Simplify right side
   2,564.33x = 5,554,359.22
5. Step 5: Solve for x
   x = 5,554,359.22/2,564.33
6. Step 6: Final answer
   x = 2,166.01