Finding the Fourth Proportional to 1,067.82, 1,598.31 and 774.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,067.82 : 1,598.31 = 774.30 : x
2. Step 2: Convert to fraction form
   1,067.82/1,598.31 = 774.30/x
3. Step 3: Cross multiply
   1,067.82x = 1,598.31 × 774.30
4. Step 4: Simplify right side
   1,067.82x = 1,237,571.43
5. Step 5: Solve for x
   x = 1,237,571.43/1,067.82
6. Step 6: Final answer
   x = 1,158.97