Finding the Fourth Proportional to 5,809.12, 8,023.22 and 3,828.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,809.12 : 8,023.22 = 3,828.50 : x
2. Step 2: Convert to fraction form
   5,809.12/8,023.22 = 3,828.50/x
3. Step 3: Cross multiply
   5,809.12x = 8,023.22 × 3,828.50
4. Step 4: Simplify right side
   5,809.12x = 30,716,882.96
5. Step 5: Solve for x
   x = 30,716,882.96/5,809.12
6. Step 6: Final answer
   x = 5,287.70