Finding the Fourth Proportional to 14,786.58, 20,411.02 and 9,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,786.58 : 20,411.02 = 9,196.50 : x
2. Step 2: Convert to fraction form
   14,786.58/20,411.02 = 9,196.50/x
3. Step 3: Cross multiply
   14,786.58x = 20,411.02 × 9,196.50
4. Step 4: Simplify right side
   14,786.58x = 187,709,945.43
5. Step 5: Solve for x
   x = 187,709,945.43/14,786.58
6. Step 6: Final answer
   x = 12,694.62