Finding the Fourth Proportional to 1,016.41, 1,403.30 and 830.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.41 : 1,403.30 = 830.35 : x
2. Step 2: Convert to fraction form
   1,016.41/1,403.30 = 830.35/x
3. Step 3: Cross multiply
   1,016.41x = 1,403.30 × 830.35
4. Step 4: Simplify right side
   1,016.41x = 1,165,230.16
5. Step 5: Solve for x
   x = 1,165,230.16/1,016.41
6. Step 6: Final answer
   x = 1,146.42