Finding the Fourth Proportional to 1,328.16, 1,832.92 and 830.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,328.16 : 1,832.92 = 830.42 : x
2. Step 2: Convert to fraction form
   1,328.16/1,832.92 = 830.42/x
3. Step 3: Cross multiply
   1,328.16x = 1,832.92 × 830.42
4. Step 4: Simplify right side
   1,328.16x = 1,522,093.43
5. Step 5: Solve for x
   x = 1,522,093.43/1,328.16
6. Step 6: Final answer
   x = 1,146.02