Finding the Fourth Proportional to 2,564.61, 3,538.38 and 1,568.85

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.61 : 3,538.38 = 1,568.85 : x
2. Step 2: Convert to fraction form
   2,564.61/3,538.38 = 1,568.85/x
3. Step 3: Cross multiply
   2,564.61x = 3,538.38 × 1,568.85
4. Step 4: Simplify right side
   2,564.61x = 5,551,179.62
5. Step 5: Solve for x
   x = 5,551,179.62/2,564.61
6. Step 6: Final answer
   x = 2,164.53