Finding the Fourth Proportional to 31,983.72, 47,978.78 and 9,796.84

Step by Step Solution

1. Step 1: Write the proportion equation
   31,983.72 : 47,978.78 = 9,796.84 : x
2. Step 2: Convert to fraction form
   31,983.72/47,978.78 = 9,796.84/x
3. Step 3: Cross multiply
   31,983.72x = 47,978.78 × 9,796.84
4. Step 4: Simplify right side
   31,983.72x = 470,040,431.06
5. Step 5: Solve for x
   x = 470,040,431.06/31,983.72
6. Step 6: Final answer
   x = 14,696.24