Finding the Fourth Proportional to 9,982.67, 13,776.09 and 5,506.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,982.67 : 13,776.09 = 5,506.42 : x
2. Step 2: Convert to fraction form
   9,982.67/13,776.09 = 5,506.42/x
3. Step 3: Cross multiply
   9,982.67x = 13,776.09 × 5,506.42
4. Step 4: Simplify right side
   9,982.67x = 75,856,896.61
5. Step 5: Solve for x
   x = 75,856,896.61/9,982.67
6. Step 6: Final answer
   x = 7,598.86