Finding the Fourth Proportional to 1,141.83, 1,713.57 and 411.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,141.83 : 1,713.57 = 411.48 : x
2. Step 2: Convert to fraction form
   1,141.83/1,713.57 = 411.48/x
3. Step 3: Cross multiply
   1,141.83x = 1,713.57 × 411.48
4. Step 4: Simplify right side
   1,141.83x = 705,099.78
5. Step 5: Solve for x
   x = 705,099.78/1,141.83
6. Step 6: Final answer
   x = 617.52