Finding the Fourth Proportional to 3,414.90, 5,123.56 and 1,106.40

Step by Step Solution

1. Step 1: Write the proportion equation
   3,414.90 : 5,123.56 = 1,106.40 : x
2. Step 2: Convert to fraction form
   3,414.90/5,123.56 = 1,106.40/x
3. Step 3: Cross multiply
   3,414.90x = 5,123.56 × 1,106.40
4. Step 4: Simplify right side
   3,414.90x = 5,668,706.78
5. Step 5: Solve for x
   x = 5,668,706.78/3,414.90
6. Step 6: Final answer
   x = 1,659.99