Finding the Fourth Proportional to 2,006.78, 3,008.62 and 1,227.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,006.78 : 3,008.62 = 1,227.14 : x
2. Step 2: Convert to fraction form
   2,006.78/3,008.62 = 1,227.14/x
3. Step 3: Cross multiply
   2,006.78x = 3,008.62 × 1,227.14
4. Step 4: Simplify right side
   2,006.78x = 3,691,995.72
5. Step 5: Solve for x
   x = 3,691,995.72/2,006.78
6. Step 6: Final answer
   x = 1,839.77