Finding the Fourth Proportional to 9,982.16, 13,775.36 and 5,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,982.16 : 13,775.36 = 5,733.50 : x
2. Step 2: Convert to fraction form
   9,982.16/13,775.36 = 5,733.50/x
3. Step 3: Cross multiply
   9,982.16x = 13,775.36 × 5,733.50
4. Step 4: Simplify right side
   9,982.16x = 78,980,997.89
5. Step 5: Solve for x
   x = 78,980,997.89/9,982.16
6. Step 6: Final answer
   x = 7,912.22