Finding the Fourth Proportional to 3,414, 5,121.81 and 1,105.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,414 : 5,121.81 = 1,105.50 : x
2. Step 2: Convert to fraction form
   3,414/5,121.81 = 1,105.50/x
3. Step 3: Cross multiply
   3,414x = 5,121.81 × 1,105.50
4. Step 4: Simplify right side
   3,414x = 5,662,160.96
5. Step 5: Solve for x
   x = 5,662,160.96/3,414
6. Step 6: Final answer
   x = 1,658.51