Finding the Fourth Proportional to 2,414.90, 3,616.41 and 1,178.33

Step by Step Solution

1. Step 1: Write the proportion equation
   2,414.90 : 3,616.41 = 1,178.33 : x
2. Step 2: Convert to fraction form
   2,414.90/3,616.41 = 1,178.33/x
3. Step 3: Cross multiply
   2,414.90x = 3,616.41 × 1,178.33
4. Step 4: Simplify right side
   2,414.90x = 4,261,310.73
5. Step 5: Solve for x
   x = 4,261,310.73/2,414.90
6. Step 6: Final answer
   x = 1,764.59