Finding the Fourth Proportional to 9,982.69, 13,776.02 and 5,506.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,982.69 : 13,776.02 = 5,506.47 : x
2. Step 2: Convert to fraction form
   9,982.69/13,776.02 = 5,506.47/x
3. Step 3: Cross multiply
   9,982.69x = 13,776.02 × 5,506.47
4. Step 4: Simplify right side
   9,982.69x = 75,857,240.85
5. Step 5: Solve for x
   x = 75,857,240.85/9,982.69
6. Step 6: Final answer
   x = 7,598.88