Finding the Fourth Proportional to 3,828.65, 5,744.42 and 2,607.57

Step by Step Solution

1. Step 1: Write the proportion equation
   3,828.65 : 5,744.42 = 2,607.57 : x
2. Step 2: Convert to fraction form
   3,828.65/5,744.42 = 2,607.57/x
3. Step 3: Cross multiply
   3,828.65x = 5,744.42 × 2,607.57
4. Step 4: Simplify right side
   3,828.65x = 14,978,964.22
5. Step 5: Solve for x
   x = 14,978,964.22/3,828.65
6. Step 6: Final answer
   x = 3,912.34