Finding the Fourth Proportional to 1,185.39, 1,635.98 and 830.97

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.39 : 1,635.98 = 830.97 : x
2. Step 2: Convert to fraction form
   1,185.39/1,635.98 = 830.97/x
3. Step 3: Cross multiply
   1,185.39x = 1,635.98 × 830.97
4. Step 4: Simplify right side
   1,185.39x = 1,359,446.15
5. Step 5: Solve for x
   x = 1,359,446.15/1,185.39
6. Step 6: Final answer
   x = 1,146.83