Finding the Fourth Proportional to 10,161.30, 14,022.24 and 5,685.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,161.30 : 14,022.24 = 5,685.56 : x
2. Step 2: Convert to fraction form
   10,161.30/14,022.24 = 5,685.56/x
3. Step 3: Cross multiply
   10,161.30x = 14,022.24 × 5,685.56
4. Step 4: Simplify right side
   10,161.30x = 79,724,286.85
5. Step 5: Solve for x
   x = 79,724,286.85/10,161.30
6. Step 6: Final answer
   x = 7,845.87