Finding the Fourth Proportional to 9,321.50, 13,984.17 and 3,849.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,321.50 : 13,984.17 = 3,849.50 : x
2. Step 2: Convert to fraction form
   9,321.50/13,984.17 = 3,849.50/x
3. Step 3: Cross multiply
   9,321.50x = 13,984.17 × 3,849.50
4. Step 4: Simplify right side
   9,321.50x = 53,832,062.42
5. Step 5: Solve for x
   x = 53,832,062.42/9,321.50
6. Step 6: Final answer
   x = 5,775.04