Finding the Fourth Proportional to 9,982.82, 13,776.12 and 5,733.89

Step by Step Solution

1. Step 1: Write the proportion equation
   9,982.82 : 13,776.12 = 5,733.89 : x
2. Step 2: Convert to fraction form
   9,982.82/13,776.12 = 5,733.89/x
3. Step 3: Cross multiply
   9,982.82x = 13,776.12 × 5,733.89
4. Step 4: Simplify right side
   9,982.82x = 78,990,791.15
5. Step 5: Solve for x
   x = 78,990,791.15/9,982.82
6. Step 6: Final answer
   x = 7,912.68