Finding the Fourth Proportional to 9,982.62, 13,776.03 and 5,506.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,982.62 : 13,776.03 = 5,506.25 : x
2. Step 2: Convert to fraction form
   9,982.62/13,776.03 = 5,506.25/x
3. Step 3: Cross multiply
   9,982.62x = 13,776.03 × 5,506.25
4. Step 4: Simplify right side
   9,982.62x = 75,854,196.31
5. Step 5: Solve for x
   x = 75,854,196.31/9,982.62
6. Step 6: Final answer
   x = 7,598.63