Finding the Fourth Proportional to 10,162.69, 14,022.49 and 5,685.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,162.69 : 14,022.49 = 5,685.57 : x
2. Step 2: Convert to fraction form
   10,162.69/14,022.49 = 5,685.57/x
3. Step 3: Cross multiply
   10,162.69x = 14,022.49 × 5,685.57
4. Step 4: Simplify right side
   10,162.69x = 79,725,821.47
5. Step 5: Solve for x
   x = 79,725,821.47/10,162.69
6. Step 6: Final answer
   x = 7,844.95