Finding the Fourth Proportional to 2,081.40, 3,119.64 and 1,106.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,081.40 : 3,119.64 = 1,106.96 : x
2. Step 2: Convert to fraction form
   2,081.40/3,119.64 = 1,106.96/x
3. Step 3: Cross multiply
   2,081.40x = 3,119.64 × 1,106.96
4. Step 4: Simplify right side
   2,081.40x = 3,453,316.69
5. Step 5: Solve for x
   x = 3,453,316.69/2,081.40
6. Step 6: Final answer
   x = 1,659.13