Finding the Fourth Proportional to 2,564.49, 3,538.20 and 1,568.73

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.49 : 3,538.20 = 1,568.73 : x
2. Step 2: Convert to fraction form
   2,564.49/3,538.20 = 1,568.73/x
3. Step 3: Cross multiply
   2,564.49x = 3,538.20 × 1,568.73
4. Step 4: Simplify right side
   2,564.49x = 5,550,480.49
5. Step 5: Solve for x
   x = 5,550,480.49/2,564.49
6. Step 6: Final answer
   x = 2,164.36