Finding the Fourth Proportional to 2,578.83, 3,867.05 and 1,409.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578.83 : 3,867.05 = 1,409.22 : x
2. Step 2: Convert to fraction form
   2,578.83/3,867.05 = 1,409.22/x
3. Step 3: Cross multiply
   2,578.83x = 3,867.05 × 1,409.22
4. Step 4: Simplify right side
   2,578.83x = 5,449,524.20
5. Step 5: Solve for x
   x = 5,449,524.20/2,578.83
6. Step 6: Final answer
   x = 2,113.18