Finding the Fourth Proportional to 14,296.78, 19,729.50 and 8,009.14

Step by Step Solution

1. Step 1: Write the proportion equation
   14,296.78 : 19,729.50 = 8,009.14 : x
2. Step 2: Convert to fraction form
   14,296.78/19,729.50 = 8,009.14/x
3. Step 3: Cross multiply
   14,296.78x = 19,729.50 × 8,009.14
4. Step 4: Simplify right side
   14,296.78x = 158,016,327.63
5. Step 5: Solve for x
   x = 158,016,327.63/14,296.78
6. Step 6: Final answer
   x = 11,052.58