Finding the Fourth Proportional to 12,665, 19,001.98 and 9,196.20

Step by Step Solution

1. Step 1: Write the proportion equation
   12,665 : 19,001.98 = 9,196.20 : x
2. Step 2: Convert to fraction form
   12,665/19,001.98 = 9,196.20/x
3. Step 3: Cross multiply
   12,665x = 19,001.98 × 9,196.20
4. Step 4: Simplify right side
   12,665x = 174,746,008.48
5. Step 5: Solve for x
   x = 174,746,008.48/12,665
6. Step 6: Final answer
   x = 13,797.55