Finding the Fourth Proportional to 9,982.50, 13,775.91 and 5,506.41

Step by Step Solution

1. Step 1: Write the proportion equation
   9,982.50 : 13,775.91 = 5,506.41 : x
2. Step 2: Convert to fraction form
   9,982.50/13,775.91 = 5,506.41/x
3. Step 3: Cross multiply
   9,982.50x = 13,775.91 × 5,506.41
4. Step 4: Simplify right side
   9,982.50x = 75,855,808.58
5. Step 5: Solve for x
   x = 75,855,808.58/9,982.50
6. Step 6: Final answer
   x = 7,598.88