Finding the Fourth Proportional to 5,687.16, 7,850.72 and 3,825.24

Step by Step Solution

1. Step 1: Write the proportion equation
   5,687.16 : 7,850.72 = 3,825.24 : x
2. Step 2: Convert to fraction form
   5,687.16/7,850.72 = 3,825.24/x
3. Step 3: Cross multiply
   5,687.16x = 7,850.72 × 3,825.24
4. Step 4: Simplify right side
   5,687.16x = 30,030,888.17
5. Step 5: Solve for x
   x = 30,030,888.17/5,687.16
6. Step 6: Final answer
   x = 5,280.47