Finding the Fourth Proportional to 9,672.45, 14,509.35 and 3,828.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,672.45 : 14,509.35 = 3,828.30 : x
2. Step 2: Convert to fraction form
   9,672.45/14,509.35 = 3,828.30/x
3. Step 3: Cross multiply
   9,672.45x = 14,509.35 × 3,828.30
4. Step 4: Simplify right side
   9,672.45x = 55,546,144.61
5. Step 5: Solve for x
   x = 55,546,144.61/9,672.45
6. Step 6: Final answer
   x = 5,742.72