Finding the Fourth Proportional to 14,142.14, 21,222.15 and 7,906.25

Step by Step Solution

1. Step 1: Write the proportion equation
   14,142.14 : 21,222.15 = 7,906.25 : x
2. Step 2: Convert to fraction form
   14,142.14/21,222.15 = 7,906.25/x
3. Step 3: Cross multiply
   14,142.14x = 21,222.15 × 7,906.25
4. Step 4: Simplify right side
   14,142.14x = 167,787,676.49
5. Step 5: Solve for x
   x = 167,787,676.49/14,142.14
6. Step 6: Final answer
   x = 11,864.37