Finding the Fourth Proportional to 4,096.83, 5,653.62 and 2,233.83

Step by Step Solution

1. Step 1: Write the proportion equation
   4,096.83 : 5,653.62 = 2,233.83 : x
2. Step 2: Convert to fraction form
   4,096.83/5,653.62 = 2,233.83/x
3. Step 3: Cross multiply
   4,096.83x = 5,653.62 × 2,233.83
4. Step 4: Simplify right side
   4,096.83x = 12,629,221.65
5. Step 5: Solve for x
   x = 12,629,221.65/4,096.83
6. Step 6: Final answer
   x = 3,082.68