Finding the Fourth Proportional to 10,161.06, 14,022.55 and 5,685.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,161.06 : 14,022.55 = 5,685.59 : x
2. Step 2: Convert to fraction form
   10,161.06/14,022.55 = 5,685.59/x
3. Step 3: Cross multiply
   10,161.06x = 14,022.55 × 5,685.59
4. Step 4: Simplify right side
   10,161.06x = 79,726,470.05
5. Step 5: Solve for x
   x = 79,726,470.05/10,161.06
6. Step 6: Final answer
   x = 7,846.27