Finding the Fourth Proportional to 10,697.67, 16,033.12 and 5,149.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,697.67 : 16,033.12 = 5,149.53 : x
2. Step 2: Convert to fraction form
   10,697.67/16,033.12 = 5,149.53/x
3. Step 3: Cross multiply
   10,697.67x = 16,033.12 × 5,149.53
4. Step 4: Simplify right side
   10,697.67x = 82,563,032.43
5. Step 5: Solve for x
   x = 82,563,032.43/10,697.67
6. Step 6: Final answer
   x = 7,717.85