Finding the Fourth Proportional to 11,697, 16,141.86 and 7,724.76

Step by Step Solution

1. Step 1: Write the proportion equation
   11,697 : 16,141.86 = 7,724.76 : x
2. Step 2: Convert to fraction form
   11,697/16,141.86 = 7,724.76/x
3. Step 3: Cross multiply
   11,697x = 16,141.86 × 7,724.76
4. Step 4: Simplify right side
   11,697x = 124,691,994.45
5. Step 5: Solve for x
   x = 124,691,994.45/11,697
6. Step 6: Final answer
   x = 10,660.17