Finding the Fourth Proportional to 2,568.42, 3,848.72 and 1,578.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,568.42 : 3,848.72 = 1,578.65 : x
2. Step 2: Convert to fraction form
   2,568.42/3,848.72 = 1,578.65/x
3. Step 3: Cross multiply
   2,568.42x = 3,848.72 × 1,578.65
4. Step 4: Simplify right side
   2,568.42x = 6,075,754.69
5. Step 5: Solve for x
   x = 6,075,754.69/2,568.42
6. Step 6: Final answer
   x = 2,365.56