Finding the Fourth Proportional to 9,982.09, 13,772.27 and 5,789.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,982.09 : 13,772.27 = 5,789.53 : x
2. Step 2: Convert to fraction form
   9,982.09/13,772.27 = 5,789.53/x
3. Step 3: Cross multiply
   9,982.09x = 13,772.27 × 5,789.53
4. Step 4: Simplify right side
   9,982.09x = 79,734,941.39
5. Step 5: Solve for x
   x = 79,734,941.39/9,982.09
6. Step 6: Final answer
   x = 7,987.80