Finding the Fourth Proportional to 14,338.50, 19,778.55 and 9,024.09

Step by Step Solution

1. Step 1: Write the proportion equation
   14,338.50 : 19,778.55 = 9,024.09 : x
2. Step 2: Convert to fraction form
   14,338.50/19,778.55 = 9,024.09/x
3. Step 3: Cross multiply
   14,338.50x = 19,778.55 × 9,024.09
4. Step 4: Simplify right side
   14,338.50x = 178,483,415.27
5. Step 5: Solve for x
   x = 178,483,415.27/14,338.50
6. Step 6: Final answer
   x = 12,447.84