Finding the Fourth Proportional to 13,185.83, 18,188.05 and 9,205.49

Step by Step Solution

1. Step 1: Write the proportion equation
   13,185.83 : 18,188.05 = 9,205.49 : x
2. Step 2: Convert to fraction form
   13,185.83/18,188.05 = 9,205.49/x
3. Step 3: Cross multiply
   13,185.83x = 18,188.05 × 9,205.49
4. Step 4: Simplify right side
   13,185.83x = 167,429,912.39
5. Step 5: Solve for x
   x = 167,429,912.39/13,185.83
6. Step 6: Final answer
   x = 12,697.72