Finding the Fourth Proportional to 3,415.12, 5,123.50 and 1,106.62

Step by Step Solution

1. Step 1: Write the proportion equation
   3,415.12 : 5,123.50 = 1,106.62 : x
2. Step 2: Convert to fraction form
   3,415.12/5,123.50 = 1,106.62/x
3. Step 3: Cross multiply
   3,415.12x = 5,123.50 × 1,106.62
4. Step 4: Simplify right side
   3,415.12x = 5,669,767.57
5. Step 5: Solve for x
   x = 5,669,767.57/3,415.12
6. Step 6: Final answer
   x = 1,660.20