Finding the Fourth Proportional to 1,146.20, 1,578.94 and 830.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.20 : 1,578.94 = 830.52 : x
2. Step 2: Convert to fraction form
   1,146.20/1,578.94 = 830.52/x
3. Step 3: Cross multiply
   1,146.20x = 1,578.94 × 830.52
4. Step 4: Simplify right side
   1,146.20x = 1,311,339.17
5. Step 5: Solve for x
   x = 1,311,339.17/1,146.20
6. Step 6: Final answer
   x = 1,144.08