Finding the Fourth Proportional to 10,685.69, 16,032.04 and 5,138.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,685.69 : 16,032.04 = 5,138.32 : x
2. Step 2: Convert to fraction form
   10,685.69/16,032.04 = 5,138.32/x
3. Step 3: Cross multiply
   10,685.69x = 16,032.04 × 5,138.32
4. Step 4: Simplify right side
   10,685.69x = 82,377,645.92
5. Step 5: Solve for x
   x = 82,377,645.92/10,685.69
6. Step 6: Final answer
   x = 7,709.16