Finding the Fourth Proportional to 5,736.32, 7,919.67 and 3,824.83

Step by Step Solution

1. Step 1: Write the proportion equation
   5,736.32 : 7,919.67 = 3,824.83 : x
2. Step 2: Convert to fraction form
   5,736.32/7,919.67 = 3,824.83/x
3. Step 3: Cross multiply
   5,736.32x = 7,919.67 × 3,824.83
4. Step 4: Simplify right side
   5,736.32x = 30,291,391.41
5. Step 5: Solve for x
   x = 30,291,391.41/5,736.32
6. Step 6: Final answer
   x = 5,280.63