Finding the Fourth Proportional to 9,982.44, 13,775.86 and 5,506.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,982.44 : 13,775.86 = 5,506.34 : x
2. Step 2: Convert to fraction form
   9,982.44/13,775.86 = 5,506.34/x
3. Step 3: Cross multiply
   9,982.44x = 13,775.86 × 5,506.34
4. Step 4: Simplify right side
   9,982.44x = 75,854,568.95
5. Step 5: Solve for x
   x = 75,854,568.95/9,982.44
6. Step 6: Final answer
   x = 7,598.80