Finding the Fourth Proportional to 9,982.59, 13,770.81 and 8,096.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,982.59 : 13,770.81 = 8,096.30 : x
2. Step 2: Convert to fraction form
   9,982.59/13,770.81 = 8,096.30/x
3. Step 3: Cross multiply
   9,982.59x = 13,770.81 × 8,096.30
4. Step 4: Simplify right side
   9,982.59x = 111,492,669.25
5. Step 5: Solve for x
   x = 111,492,669.25/9,982.59
6. Step 6: Final answer
   x = 11,168.71