Finding the Fourth Proportional to 2,564.38, 3,538.83 and 1,569.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.38 : 3,538.83 = 1,569.52 : x
2. Step 2: Convert to fraction form
   2,564.38/3,538.83 = 1,569.52/x
3. Step 3: Cross multiply
   2,564.38x = 3,538.83 × 1,569.52
4. Step 4: Simplify right side
   2,564.38x = 5,554,264.46
5. Step 5: Solve for x
   x = 5,554,264.46/2,564.38
6. Step 6: Final answer
   x = 2,165.93