Finding the Fourth Proportional to 7,673.82, 10,578.75 and 5,082.42

Step by Step Solution

1. Step 1: Write the proportion equation
   7,673.82 : 10,578.75 = 5,082.42 : x
2. Step 2: Convert to fraction form
   7,673.82/10,578.75 = 5,082.42/x
3. Step 3: Cross multiply
   7,673.82x = 10,578.75 × 5,082.42
4. Step 4: Simplify right side
   7,673.82x = 53,765,650.58
5. Step 5: Solve for x
   x = 53,765,650.58/7,673.82
6. Step 6: Final answer
   x = 7,006.37