Finding the Fourth Proportional to 2,464.74, 3,401.58 and 1,416.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,464.74 : 3,401.58 = 1,416.78 : x
2. Step 2: Convert to fraction form
   2,464.74/3,401.58 = 1,416.78/x
3. Step 3: Cross multiply
   2,464.74x = 3,401.58 × 1,416.78
4. Step 4: Simplify right side
   2,464.74x = 4,819,290.51
5. Step 5: Solve for x
   x = 4,819,290.51/2,464.74
6. Step 6: Final answer
   x = 1,955.29