Finding the Fourth Proportional to 2,456.40, 3,389.82 and 1,408.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,456.40 : 3,389.82 = 1,408.46 : x
2. Step 2: Convert to fraction form
   2,456.40/3,389.82 = 1,408.46/x
3. Step 3: Cross multiply
   2,456.40x = 3,389.82 × 1,408.46
4. Step 4: Simplify right side
   2,456.40x = 4,774,425.88
5. Step 5: Solve for x
   x = 4,774,425.88/2,456.40
6. Step 6: Final answer
   x = 1,943.67