Finding the Fourth Proportional to 9,782.69, 14,673.89 and 6,777.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.69 : 14,673.89 = 6,777.96 : x
2. Step 2: Convert to fraction form
   9,782.69/14,673.89 = 6,777.96/x
3. Step 3: Cross multiply
   9,782.69x = 14,673.89 × 6,777.96
4. Step 4: Simplify right side
   9,782.69x = 99,459,001.38
5. Step 5: Solve for x
   x = 99,459,001.38/9,782.69
6. Step 6: Final answer
   x = 10,166.83