Finding the Fourth Proportional to 1,152.86, 1,728.33 and 830.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.86 : 1,728.33 = 830.30 : x
2. Step 2: Convert to fraction form
   1,152.86/1,728.33 = 830.30/x
3. Step 3: Cross multiply
   1,152.86x = 1,728.33 × 830.30
4. Step 4: Simplify right side
   1,152.86x = 1,435,032.40
5. Step 5: Solve for x
   x = 1,435,032.40/1,152.86
6. Step 6: Final answer
   x = 1,244.76