Finding the Fourth Proportional to 11,839.50, 16,344.38 and 9,282.77

Step by Step Solution

1. Step 1: Write the proportion equation
   11,839.50 : 16,344.38 = 9,282.77 : x
2. Step 2: Convert to fraction form
   11,839.50/16,344.38 = 9,282.77/x
3. Step 3: Cross multiply
   11,839.50x = 16,344.38 × 9,282.77
4. Step 4: Simplify right side
   11,839.50x = 151,721,120.33
5. Step 5: Solve for x
   x = 151,721,120.33/11,839.50
6. Step 6: Final answer
   x = 12,814.82