Finding the Fourth Proportional to 14,251, 19,666.24 and 7,878

Step by Step Solution

1. Step 1: Write the proportion equation
   14,251 : 19,666.24 = 7,878 : x
2. Step 2: Convert to fraction form
   14,251/19,666.24 = 7,878/x
3. Step 3: Cross multiply
   14,251x = 19,666.24 × 7,878
4. Step 4: Simplify right side
   14,251x = 154,930,638.72
5. Step 5: Solve for x
   x = 154,930,638.72/14,251
6. Step 6: Final answer
   x = 10,871.56