Finding the Fourth Proportional to 9,982.94, 13,777.16 and 5,734.71

Step by Step Solution

1. Step 1: Write the proportion equation
   9,982.94 : 13,777.16 = 5,734.71 : x
2. Step 2: Convert to fraction form
   9,982.94/13,777.16 = 5,734.71/x
3. Step 3: Cross multiply
   9,982.94x = 13,777.16 × 5,734.71
4. Step 4: Simplify right side
   9,982.94x = 79,007,988.55
5. Step 5: Solve for x
   x = 79,007,988.55/9,982.94
6. Step 6: Final answer
   x = 7,914.30