Finding the Fourth Proportional to 1,361.78, 1,879.27 and 772.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,361.78 : 1,879.27 = 772.27 : x
2. Step 2: Convert to fraction form
   1,361.78/1,879.27 = 772.27/x
3. Step 3: Cross multiply
   1,361.78x = 1,879.27 × 772.27
4. Step 4: Simplify right side
   1,361.78x = 1,451,297.21
5. Step 5: Solve for x
   x = 1,451,297.21/1,361.78
6. Step 6: Final answer
   x = 1,065.74