Finding the Fourth Proportional to 10,609.24, 14,640.72 and 5,828.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,609.24 : 14,640.72 = 5,828.42 : x
2. Step 2: Convert to fraction form
   10,609.24/14,640.72 = 5,828.42/x
3. Step 3: Cross multiply
   10,609.24x = 14,640.72 × 5,828.42
4. Step 4: Simplify right side
   10,609.24x = 85,332,192.06
5. Step 5: Solve for x
   x = 85,332,192.06/10,609.24
6. Step 6: Final answer
   x = 8,043.20