Finding the Fourth Proportional to 13,728.89, 18,942.84 and 7,758.38

Step by Step Solution

1. Step 1: Write the proportion equation
   13,728.89 : 18,942.84 = 7,758.38 : x
2. Step 2: Convert to fraction form
   13,728.89/18,942.84 = 7,758.38/x
3. Step 3: Cross multiply
   13,728.89x = 18,942.84 × 7,758.38
4. Step 4: Simplify right side
   13,728.89x = 146,965,776.54
5. Step 5: Solve for x
   x = 146,965,776.54/13,728.89
6. Step 6: Final answer
   x = 10,704.85