Finding the Fourth Proportional to 9,982.38, 13,775.61 and 5,506.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,982.38 : 13,775.61 = 5,506.14 : x
2. Step 2: Convert to fraction form
   9,982.38/13,775.61 = 5,506.14/x
3. Step 3: Cross multiply
   9,982.38x = 13,775.61 × 5,506.14
4. Step 4: Simplify right side
   9,982.38x = 75,850,437.25
5. Step 5: Solve for x
   x = 75,850,437.25/9,982.38
6. Step 6: Final answer
   x = 7,598.43