Finding the Fourth Proportional to 2,454.50, 3,387.42 and 1,406.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,454.50 : 3,387.42 = 1,406.78 : x
2. Step 2: Convert to fraction form
   2,454.50/3,387.42 = 1,406.78/x
3. Step 3: Cross multiply
   2,454.50x = 3,387.42 × 1,406.78
4. Step 4: Simplify right side
   2,454.50x = 4,765,354.71
5. Step 5: Solve for x
   x = 4,765,354.71/2,454.50
6. Step 6: Final answer
   x = 1,941.48