Finding the Fourth Proportional to 9,629.78, 14,441.01 and 3,783.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,629.78 : 14,441.01 = 3,783.20 : x
2. Step 2: Convert to fraction form
   9,629.78/14,441.01 = 3,783.20/x
3. Step 3: Cross multiply
   9,629.78x = 14,441.01 × 3,783.20
4. Step 4: Simplify right side
   9,629.78x = 54,633,156.83
5. Step 5: Solve for x
   x = 54,633,156.83/9,629.78
6. Step 6: Final answer
   x = 5,673.36