Finding the Fourth Proportional to 2,564.76, 3,538.54 and 1,569.54

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.76 : 3,538.54 = 1,569.54 : x
2. Step 2: Convert to fraction form
   2,564.76/3,538.54 = 1,569.54/x
3. Step 3: Cross multiply
   2,564.76x = 3,538.54 × 1,569.54
4. Step 4: Simplify right side
   2,564.76x = 5,553,880.07
5. Step 5: Solve for x
   x = 5,553,880.07/2,564.76
6. Step 6: Final answer
   x = 2,165.46