Finding the Fourth Proportional to 2,096.14, 3,143.91 and 1,160.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,096.14 : 3,143.91 = 1,160.82 : x
2. Step 2: Convert to fraction form
   2,096.14/3,143.91 = 1,160.82/x
3. Step 3: Cross multiply
   2,096.14x = 3,143.91 × 1,160.82
4. Step 4: Simplify right side
   2,096.14x = 3,649,513.61
5. Step 5: Solve for x
   x = 3,649,513.61/2,096.14
6. Step 6: Final answer
   x = 1,741.06