Finding the Fourth Proportional to 2,564.74, 3,538.56 and 1,568.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.74 : 3,538.56 = 1,568.98 : x
2. Step 2: Convert to fraction form
   2,564.74/3,538.56 = 1,568.98/x
3. Step 3: Cross multiply
   2,564.74x = 3,538.56 × 1,568.98
4. Step 4: Simplify right side
   2,564.74x = 5,551,929.87
5. Step 5: Solve for x
   x = 5,551,929.87/2,564.74
6. Step 6: Final answer
   x = 2,164.71