Finding the Fourth Proportional to 2,082.96, 3,126.34 and 1,109.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.96 : 3,126.34 = 1,109.88 : x
2. Step 2: Convert to fraction form
   2,082.96/3,126.34 = 1,109.88/x
3. Step 3: Cross multiply
   2,082.96x = 3,126.34 × 1,109.88
4. Step 4: Simplify right side
   2,082.96x = 3,469,862.24
5. Step 5: Solve for x
   x = 3,469,862.24/2,082.96
6. Step 6: Final answer
   x = 1,665.83