Finding the Fourth Proportional to 10,662.24, 14,713.92 and 5,946.51

Step by Step Solution

1. Step 1: Write the proportion equation
   10,662.24 : 14,713.92 = 5,946.51 : x
2. Step 2: Convert to fraction form
   10,662.24/14,713.92 = 5,946.51/x
3. Step 3: Cross multiply
   10,662.24x = 14,713.92 × 5,946.51
4. Step 4: Simplify right side
   10,662.24x = 87,496,472.42
5. Step 5: Solve for x
   x = 87,496,472.42/10,662.24
6. Step 6: Final answer
   x = 8,206.20