Finding the Fourth Proportional to 11,605.76, 16,016.04 and 6,824.42

Step by Step Solution

1. Step 1: Write the proportion equation
   11,605.76 : 16,016.04 = 6,824.42 : x
2. Step 2: Convert to fraction form
   11,605.76/16,016.04 = 6,824.42/x
3. Step 3: Cross multiply
   11,605.76x = 16,016.04 × 6,824.42
4. Step 4: Simplify right side
   11,605.76x = 109,300,183.70
5. Step 5: Solve for x
   x = 109,300,183.70/11,605.76
6. Step 6: Final answer
   x = 9,417.75