Finding the Fourth Proportional to 9,983.25, 13,778.71 and 5,791.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,983.25 : 13,778.71 = 5,791.50 : x
2. Step 2: Convert to fraction form
   9,983.25/13,778.71 = 5,791.50/x
3. Step 3: Cross multiply
   9,983.25x = 13,778.71 × 5,791.50
4. Step 4: Simplify right side
   9,983.25x = 79,799,384.49
5. Step 5: Solve for x
   x = 79,799,384.49/9,983.25
6. Step 6: Final answer
   x = 7,993.33