Finding the Fourth Proportional to 11,797, 16,286.60 and 7,823.52

Step by Step Solution

1. Step 1: Write the proportion equation
   11,797 : 16,286.60 = 7,823.52 : x
2. Step 2: Convert to fraction form
   11,797/16,286.60 = 7,823.52/x
3. Step 3: Cross multiply
   11,797x = 16,286.60 × 7,823.52
4. Step 4: Simplify right side
   11,797x = 127,418,540.83
5. Step 5: Solve for x
   x = 127,418,540.83/11,797
6. Step 6: Final answer
   x = 10,800.93