Finding the Fourth Proportional to 5,096.16, 7,643.03 and 2,629.71

Step by Step Solution

1. Step 1: Write the proportion equation
   5,096.16 : 7,643.03 = 2,629.71 : x
2. Step 2: Convert to fraction form
   5,096.16/7,643.03 = 2,629.71/x
3. Step 3: Cross multiply
   5,096.16x = 7,643.03 × 2,629.71
4. Step 4: Simplify right side
   5,096.16x = 20,098,939.27
5. Step 5: Solve for x
   x = 20,098,939.27/5,096.16
6. Step 6: Final answer
   x = 3,943.94