Finding the Fourth Proportional to 9,982.64, 13,775.39 and 5,506.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,982.64 : 13,775.39 = 5,506.42 : x
2. Step 2: Convert to fraction form
   9,982.64/13,775.39 = 5,506.42/x
3. Step 3: Cross multiply
   9,982.64x = 13,775.39 × 5,506.42
4. Step 4: Simplify right side
   9,982.64x = 75,853,083.00
5. Step 5: Solve for x
   x = 75,853,083.00/9,982.64
6. Step 6: Final answer
   x = 7,598.50