Finding the Fourth Proportional to 13,685.38, 18,878.52 and 9,201.42

Step by Step Solution

1. Step 1: Write the proportion equation
   13,685.38 : 18,878.52 = 9,201.42 : x
2. Step 2: Convert to fraction form
   13,685.38/18,878.52 = 9,201.42/x
3. Step 3: Cross multiply
   13,685.38x = 18,878.52 × 9,201.42
4. Step 4: Simplify right side
   13,685.38x = 173,709,191.50
5. Step 5: Solve for x
   x = 173,709,191.50/13,685.38
6. Step 6: Final answer
   x = 12,693.05