Finding the Fourth Proportional to 5,229.24, 7,836.94 and 3,836.05

Step by Step Solution

1. Step 1: Write the proportion equation
   5,229.24 : 7,836.94 = 3,836.05 : x
2. Step 2: Convert to fraction form
   5,229.24/7,836.94 = 3,836.05/x
3. Step 3: Cross multiply
   5,229.24x = 7,836.94 × 3,836.05
4. Step 4: Simplify right side
   5,229.24x = 30,062,869.06
5. Step 5: Solve for x
   x = 30,062,869.06/5,229.24
6. Step 6: Final answer
   x = 5,749.00