Finding the Fourth Proportional to 1,141.98, 1,711.92 and 411.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,141.98 : 1,711.92 = 411.38 : x
2. Step 2: Convert to fraction form
   1,141.98/1,711.92 = 411.38/x
3. Step 3: Cross multiply
   1,141.98x = 1,711.92 × 411.38
4. Step 4: Simplify right side
   1,141.98x = 704,241.09
5. Step 5: Solve for x
   x = 704,241.09/1,141.98
6. Step 6: Final answer
   x = 616.68