Finding the Fourth Proportional to 19,648.14, 27,123.72 and 12,578.64

Step by Step Solution

1. Step 1: Write the proportion equation
   19,648.14 : 27,123.72 = 12,578.64 : x
2. Step 2: Convert to fraction form
   19,648.14/27,123.72 = 12,578.64/x
3. Step 3: Cross multiply
   19,648.14x = 27,123.72 × 12,578.64
4. Step 4: Simplify right side
   19,648.14x = 341,179,509.34
5. Step 5: Solve for x
   x = 341,179,509.34/19,648.14
6. Step 6: Final answer
   x = 17,364.47