Finding the Fourth Proportional to 1,141.91, 1,713.61 and 411.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,141.91 : 1,713.61 = 411.54 : x
2. Step 2: Convert to fraction form
   1,141.91/1,713.61 = 411.54/x
3. Step 3: Cross multiply
   1,141.91x = 1,713.61 × 411.54
4. Step 4: Simplify right side
   1,141.91x = 705,222.88
5. Step 5: Solve for x
   x = 705,222.88/1,141.91
6. Step 6: Final answer
   x = 617.58