Finding the Fourth Proportional to 12,195, 16,826.64 and 7,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,195 : 16,826.64 = 7,417.50 : x
2. Step 2: Convert to fraction form
   12,195/16,826.64 = 7,417.50/x
3. Step 3: Cross multiply
   12,195x = 16,826.64 × 7,417.50
4. Step 4: Simplify right side
   12,195x = 124,811,602.20
5. Step 5: Solve for x
   x = 124,811,602.20/12,195
6. Step 6: Final answer
   x = 10,234.65