Finding the Fourth Proportional to 14,164.50, 19,548.24 and 7,878.09

Step by Step Solution

1. Step 1: Write the proportion equation
   14,164.50 : 19,548.24 = 7,878.09 : x
2. Step 2: Convert to fraction form
   14,164.50/19,548.24 = 7,878.09/x
3. Step 3: Cross multiply
   14,164.50x = 19,548.24 × 7,878.09
4. Step 4: Simplify right side
   14,164.50x = 154,002,794.06
5. Step 5: Solve for x
   x = 154,002,794.06/14,164.50
6. Step 6: Final answer
   x = 10,872.45