Finding the Fourth Proportional to 9,982.10, 13,775.39 and 5,506.01

Step by Step Solution

1. Step 1: Write the proportion equation
   9,982.10 : 13,775.39 = 5,506.01 : x
2. Step 2: Convert to fraction form
   9,982.10/13,775.39 = 5,506.01/x
3. Step 3: Cross multiply
   9,982.10x = 13,775.39 × 5,506.01
4. Step 4: Simplify right side
   9,982.10x = 75,847,338.69
5. Step 5: Solve for x
   x = 75,847,338.69/9,982.10
6. Step 6: Final answer
   x = 7,598.33