Finding the Fourth Proportional to 9,380.16, 14,067.84 and 3,832

Step by Step Solution

1. Step 1: Write the proportion equation
   9,380.16 : 14,067.84 = 3,832 : x
2. Step 2: Convert to fraction form
   9,380.16/14,067.84 = 3,832/x
3. Step 3: Cross multiply
   9,380.16x = 14,067.84 × 3,832
4. Step 4: Simplify right side
   9,380.16x = 53,907,962.88
5. Step 5: Solve for x
   x = 53,907,962.88/9,380.16
6. Step 6: Final answer
   x = 5,747.02