Finding the Fourth Proportional to 2,464.38, 3,400.74 and 1,416.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,464.38 : 3,400.74 = 1,416.42 : x
2. Step 2: Convert to fraction form
   2,464.38/3,400.74 = 1,416.42/x
3. Step 3: Cross multiply
   2,464.38x = 3,400.74 × 1,416.42
4. Step 4: Simplify right side
   2,464.38x = 4,816,876.15
5. Step 5: Solve for x
   x = 4,816,876.15/2,464.38
6. Step 6: Final answer
   x = 1,954.60