Finding the Fourth Proportional to 10,676.95, 16,022.10 and 5,136.01

Step by Step Solution

1. Step 1: Write the proportion equation
   10,676.95 : 16,022.10 = 5,136.01 : x
2. Step 2: Convert to fraction form
   10,676.95/16,022.10 = 5,136.01/x
3. Step 3: Cross multiply
   10,676.95x = 16,022.10 × 5,136.01
4. Step 4: Simplify right side
   10,676.95x = 82,289,645.03
5. Step 5: Solve for x
   x = 82,289,645.03/10,676.95
6. Step 6: Final answer
   x = 7,707.23