Finding the Fourth Proportional to 10,689.69, 16,037.78 and 5,141.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,689.69 : 16,037.78 = 5,141.46 : x
2. Step 2: Convert to fraction form
   10,689.69/16,037.78 = 5,141.46/x
3. Step 3: Cross multiply
   10,689.69x = 16,037.78 × 5,141.46
4. Step 4: Simplify right side
   10,689.69x = 82,457,578.65
5. Step 5: Solve for x
   x = 82,457,578.65/10,689.69
6. Step 6: Final answer
   x = 7,713.75