Finding the Fourth Proportional to 33,005.02, 49,509.69 and 9,629.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,005.02 : 49,509.69 = 9,629.50 : x
2. Step 2: Convert to fraction form
   33,005.02/49,509.69 = 9,629.50/x
3. Step 3: Cross multiply
   33,005.02x = 49,509.69 × 9,629.50
4. Step 4: Simplify right side
   33,005.02x = 476,753,559.86
5. Step 5: Solve for x
   x = 476,753,559.86/33,005.02
6. Step 6: Final answer
   x = 14,444.88