Finding the Fourth Proportional to 14,297, 19,729.86 and 8,009.42

Step by Step Solution

1. Step 1: Write the proportion equation
   14,297 : 19,729.86 = 8,009.42 : x
2. Step 2: Convert to fraction form
   14,297/19,729.86 = 8,009.42/x
3. Step 3: Cross multiply
   14,297x = 19,729.86 × 8,009.42
4. Step 4: Simplify right side
   14,297x = 158,024,735.28
5. Step 5: Solve for x
   x = 158,024,735.28/14,297
6. Step 6: Final answer
   x = 11,053.00