Finding the Fourth Proportional to 9,983.50, 13,777.93 and 5,735.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,983.50 : 13,777.93 = 5,735.25 : x
2. Step 2: Convert to fraction form
   9,983.50/13,777.93 = 5,735.25/x
3. Step 3: Cross multiply
   9,983.50x = 13,777.93 × 5,735.25
4. Step 4: Simplify right side
   9,983.50x = 79,019,880.20
5. Step 5: Solve for x
   x = 79,019,880.20/9,983.50
6. Step 6: Final answer
   x = 7,915.05