Finding the Fourth Proportional to 9,982.89, 13,776.53 and 5,506.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,982.89 : 13,776.53 = 5,506.83 : x
2. Step 2: Convert to fraction form
   9,982.89/13,776.53 = 5,506.83/x
3. Step 3: Cross multiply
   9,982.89x = 13,776.53 × 5,506.83
4. Step 4: Simplify right side
   9,982.89x = 75,864,981.17
5. Step 5: Solve for x
   x = 75,864,981.17/9,982.89
6. Step 6: Final answer
   x = 7,599.50