Finding the Fourth Proportional to 5,143.16, 7,669.57 and 5,096.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,143.16 : 7,669.57 = 5,096.38 : x
2. Step 2: Convert to fraction form
   5,143.16/7,669.57 = 5,096.38/x
3. Step 3: Cross multiply
   5,143.16x = 7,669.57 × 5,096.38
4. Step 4: Simplify right side
   5,143.16x = 39,087,030.35
5. Step 5: Solve for x
   x = 39,087,030.35/5,143.16
6. Step 6: Final answer
   x = 7,599.82