Finding the Fourth Proportional to 5,685.16, 7,847.96 and 3,823.24

Step by Step Solution

1. Step 1: Write the proportion equation
   5,685.16 : 7,847.96 = 3,823.24 : x
2. Step 2: Convert to fraction form
   5,685.16/7,847.96 = 3,823.24/x
3. Step 3: Cross multiply
   5,685.16x = 7,847.96 × 3,823.24
4. Step 4: Simplify right side
   5,685.16x = 30,004,634.59
5. Step 5: Solve for x
   x = 30,004,634.59/5,685.16
6. Step 6: Final answer
   x = 5,277.71