Finding the Fourth Proportional to 14,238.78, 19,649.12 and 7,865.25

Step by Step Solution

1. Step 1: Write the proportion equation
   14,238.78 : 19,649.12 = 7,865.25 : x
2. Step 2: Convert to fraction form
   14,238.78/19,649.12 = 7,865.25/x
3. Step 3: Cross multiply
   14,238.78x = 19,649.12 × 7,865.25
4. Step 4: Simplify right side
   14,238.78x = 154,545,238.60
5. Step 5: Solve for x
   x = 154,545,238.60/14,238.78
6. Step 6: Final answer
   x = 10,853.83