Finding the Fourth Proportional to 11,859.50, 16,369.53 and 7,829.27

Step by Step Solution

1. Step 1: Write the proportion equation
   11,859.50 : 16,369.53 = 7,829.27 : x
2. Step 2: Convert to fraction form
   11,859.50/16,369.53 = 7,829.27/x
3. Step 3: Cross multiply
   11,859.50x = 16,369.53 × 7,829.27
4. Step 4: Simplify right side
   11,859.50x = 128,161,431.00
5. Step 5: Solve for x
   x = 128,161,431.00/11,859.50
6. Step 6: Final answer
   x = 10,806.65