Finding the Fourth Proportional to 9,984.75, 13,778.49 and 5,732.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,984.75 : 13,778.49 = 5,732.82 : x
2. Step 2: Convert to fraction form
   9,984.75/13,778.49 = 5,732.82/x
3. Step 3: Cross multiply
   9,984.75x = 13,778.49 × 5,732.82
4. Step 4: Simplify right side
   9,984.75x = 78,989,603.04
5. Step 5: Solve for x
   x = 78,989,603.04/9,984.75
6. Step 6: Final answer
   x = 7,911.02