Finding the Fourth Proportional to 1,171.38, 1,616.61 and 729.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.38 : 1,616.61 = 729.42 : x
2. Step 2: Convert to fraction form
   1,171.38/1,616.61 = 729.42/x
3. Step 3: Cross multiply
   1,171.38x = 1,616.61 × 729.42
4. Step 4: Simplify right side
   1,171.38x = 1,179,187.67
5. Step 5: Solve for x
   x = 1,179,187.67/1,171.38
6. Step 6: Final answer
   x = 1,006.67