Finding the Fourth Proportional to 9,982.53, 13,775.81 and 5,506.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,982.53 : 13,775.81 = 5,506.32 : x
2. Step 2: Convert to fraction form
   9,982.53/13,775.81 = 5,506.32/x
3. Step 3: Cross multiply
   9,982.53x = 13,775.81 × 5,506.32
4. Step 4: Simplify right side
   9,982.53x = 75,854,003.50
5. Step 5: Solve for x
   x = 75,854,003.50/9,982.53
6. Step 6: Final answer
   x = 7,598.67