Finding the Fourth Proportional to 2,464.14, 3,685.41 and 2,144.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,464.14 : 3,685.41 = 2,144.46 : x
2. Step 2: Convert to fraction form
   2,464.14/3,685.41 = 2,144.46/x
3. Step 3: Cross multiply
   2,464.14x = 3,685.41 × 2,144.46
4. Step 4: Simplify right side
   2,464.14x = 7,903,214.33
5. Step 5: Solve for x
   x = 7,903,214.33/2,464.14
6. Step 6: Final answer
   x = 3,207.29