Finding the Fourth Proportional to 9,982.71, 13,775.94 and 5,506.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,982.71 : 13,775.94 = 5,506.38 : x
2. Step 2: Convert to fraction form
   9,982.71/13,775.94 = 5,506.38/x
3. Step 3: Cross multiply
   9,982.71x = 13,775.94 × 5,506.38
4. Step 4: Simplify right side
   9,982.71x = 75,855,560.50
5. Step 5: Solve for x
   x = 75,855,560.50/9,982.71
6. Step 6: Final answer
   x = 7,598.69