Finding the Fourth Proportional to 1,144.80, 1,578.78 and 832.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,144.80 : 1,578.78 = 832.20 : x
2. Step 2: Convert to fraction form
   1,144.80/1,578.78 = 832.20/x
3. Step 3: Cross multiply
   1,144.80x = 1,578.78 × 832.20
4. Step 4: Simplify right side
   1,144.80x = 1,313,860.72
5. Step 5: Solve for x
   x = 1,313,860.72/1,144.80
6. Step 6: Final answer
   x = 1,147.68