Finding the Fourth Proportional to 2,008.78, 3,010.86 and 775.54

Step by Step Solution

1. Step 1: Write the proportion equation
   2,008.78 : 3,010.86 = 775.54 : x
2. Step 2: Convert to fraction form
   2,008.78/3,010.86 = 775.54/x
3. Step 3: Cross multiply
   2,008.78x = 3,010.86 × 775.54
4. Step 4: Simplify right side
   2,008.78x = 2,335,042.36
5. Step 5: Solve for x
   x = 2,335,042.36/2,008.78
6. Step 6: Final answer
   x = 1,162.42