Finding the Fourth Proportional to 6,849.89, 10,268.67 and 2,464.27

Step by Step Solution

1. Step 1: Write the proportion equation
   6,849.89 : 10,268.67 = 2,464.27 : x
2. Step 2: Convert to fraction form
   6,849.89/10,268.67 = 2,464.27/x
3. Step 3: Cross multiply
   6,849.89x = 10,268.67 × 2,464.27
4. Step 4: Simplify right side
   6,849.89x = 25,304,749.75
5. Step 5: Solve for x
   x = 25,304,749.75/6,849.89
6. Step 6: Final answer
   x = 3,694.18