Finding the Fourth Proportional to 4,096.78, 5,653.57 and 2,233.78

Step by Step Solution

1. Step 1: Write the proportion equation
   4,096.78 : 5,653.57 = 2,233.78 : x
2. Step 2: Convert to fraction form
   4,096.78/5,653.57 = 2,233.78/x
3. Step 3: Cross multiply
   4,096.78x = 5,653.57 × 2,233.78
4. Step 4: Simplify right side
   4,096.78x = 12,628,831.59
5. Step 5: Solve for x
   x = 12,628,831.59/4,096.78
6. Step 6: Final answer
   x = 3,082.62