Finding the Fourth Proportional to 10,693.50, 16,033.50 and 5,148.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,693.50 : 16,033.50 = 5,148.24 : x
2. Step 2: Convert to fraction form
   10,693.50/16,033.50 = 5,148.24/x
3. Step 3: Cross multiply
   10,693.50x = 16,033.50 × 5,148.24
4. Step 4: Simplify right side
   10,693.50x = 82,544,306.04
5. Step 5: Solve for x
   x = 82,544,306.04/10,693.50
6. Step 6: Final answer
   x = 7,719.11