Finding the Fourth Proportional to 9,982.57, 13,775.88 and 5,506.51

Step by Step Solution

1. Step 1: Write the proportion equation
   9,982.57 : 13,775.88 = 5,506.51 : x
2. Step 2: Convert to fraction form
   9,982.57/13,775.88 = 5,506.51/x
3. Step 3: Cross multiply
   9,982.57x = 13,775.88 × 5,506.51
4. Step 4: Simplify right side
   9,982.57x = 75,857,020.98
5. Step 5: Solve for x
   x = 75,857,020.98/9,982.57
6. Step 6: Final answer
   x = 7,598.95