Finding the Fourth Proportional to 9,982.70, 13,776.22 and 5,506.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,982.70 : 13,776.22 = 5,506.61 : x
2. Step 2: Convert to fraction form
   9,982.70/13,776.22 = 5,506.61/x
3. Step 3: Cross multiply
   9,982.70x = 13,776.22 × 5,506.61
4. Step 4: Simplify right side
   9,982.70x = 75,860,188.17
5. Step 5: Solve for x
   x = 75,860,188.17/9,982.70
6. Step 6: Final answer
   x = 7,599.17