Finding the Fourth Proportional to 14,266, 19,686.72 and 7,978.42

Step by Step Solution

1. Step 1: Write the proportion equation
   14,266 : 19,686.72 = 7,978.42 : x
2. Step 2: Convert to fraction form
   14,266/19,686.72 = 7,978.42/x
3. Step 3: Cross multiply
   14,266x = 19,686.72 × 7,978.42
4. Step 4: Simplify right side
   14,266x = 157,068,920.58
5. Step 5: Solve for x
   x = 157,068,920.58/14,266
6. Step 6: Final answer
   x = 11,010.02