Finding the Fourth Proportional to 1,606.78, 2,414.49 and 1,226.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,606.78 : 2,414.49 = 1,226.62 : x
2. Step 2: Convert to fraction form
   1,606.78/2,414.49 = 1,226.62/x
3. Step 3: Cross multiply
   1,606.78x = 2,414.49 × 1,226.62
4. Step 4: Simplify right side
   1,606.78x = 2,961,661.72
5. Step 5: Solve for x
   x = 2,961,661.72/1,606.78
6. Step 6: Final answer
   x = 1,843.23