Finding the Fourth Proportional to 12,185.83, 18,259.61 and 9,419.28

Step by Step Solution

1. Step 1: Write the proportion equation
   12,185.83 : 18,259.61 = 9,419.28 : x
2. Step 2: Convert to fraction form
   12,185.83/18,259.61 = 9,419.28/x
3. Step 3: Cross multiply
   12,185.83x = 18,259.61 × 9,419.28
4. Step 4: Simplify right side
   12,185.83x = 171,992,379.28
5. Step 5: Solve for x
   x = 171,992,379.28/12,185.83
6. Step 6: Final answer
   x = 14,114.13