Finding the Fourth Proportional to 9,982.38, 13,776.30 and 5,734.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,982.38 : 13,776.30 = 5,734.78 : x
2. Step 2: Convert to fraction form
   9,982.38/13,776.30 = 5,734.78/x
3. Step 3: Cross multiply
   9,982.38x = 13,776.30 × 5,734.78
4. Step 4: Simplify right side
   9,982.38x = 79,004,049.71
5. Step 5: Solve for x
   x = 79,004,049.71/9,982.38
6. Step 6: Final answer
   x = 7,914.35