Finding the Fourth Proportional to 31,849.82, 47,774.83 and 9,663.38

Step by Step Solution

1. Step 1: Write the proportion equation
   31,849.82 : 47,774.83 = 9,663.38 : x
2. Step 2: Convert to fraction form
   31,849.82/47,774.83 = 9,663.38/x
3. Step 3: Cross multiply
   31,849.82x = 47,774.83 × 9,663.38
4. Step 4: Simplify right side
   31,849.82x = 461,666,073.69
5. Step 5: Solve for x
   x = 461,666,073.69/31,849.82
6. Step 6: Final answer
   x = 14,495.09