Finding the Fourth Proportional to 2,578.35, 3,868.17 and 1,408.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578.35 : 3,868.17 = 1,408.02 : x
2. Step 2: Convert to fraction form
   2,578.35/3,868.17 = 1,408.02/x
3. Step 3: Cross multiply
   2,578.35x = 3,868.17 × 1,408.02
4. Step 4: Simplify right side
   2,578.35x = 5,446,460.72
5. Step 5: Solve for x
   x = 5,446,460.72/2,578.35
6. Step 6: Final answer
   x = 2,112.38