Finding the Fourth Proportional to 4,096.69, 5,653.44 and 2,233.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,096.69 : 5,653.44 = 2,233.69 : x
2. Step 2: Convert to fraction form
   4,096.69/5,653.44 = 2,233.69/x
3. Step 3: Cross multiply
   4,096.69x = 5,653.44 × 2,233.69
4. Step 4: Simplify right side
   4,096.69x = 12,628,018.26
5. Step 5: Solve for x
   x = 12,628,018.26/4,096.69
6. Step 6: Final answer
   x = 3,082.49