Finding the Fourth Proportional to 12,196.68, 16,829.14 and 7,717.30

Step by Step Solution

1. Step 1: Write the proportion equation
   12,196.68 : 16,829.14 = 7,717.30 : x
2. Step 2: Convert to fraction form
   12,196.68/16,829.14 = 7,717.30/x
3. Step 3: Cross multiply
   12,196.68x = 16,829.14 × 7,717.30
4. Step 4: Simplify right side
   12,196.68x = 129,875,522.12
5. Step 5: Solve for x
   x = 129,875,522.12/12,196.68
6. Step 6: Final answer
   x = 10,648.43