Finding the Fourth Proportional to 13,683.78, 18,855.72 and 9,436.14

Step by Step Solution

1. Step 1: Write the proportion equation
   13,683.78 : 18,855.72 = 9,436.14 : x
2. Step 2: Convert to fraction form
   13,683.78/18,855.72 = 9,436.14/x
3. Step 3: Cross multiply
   13,683.78x = 18,855.72 × 9,436.14
4. Step 4: Simplify right side
   13,683.78x = 177,925,213.72
5. Step 5: Solve for x
   x = 177,925,213.72/13,683.78
6. Step 6: Final answer
   x = 13,002.64