Finding the Fourth Proportional to 5,686.16, 7,849.34 and 3,824.24

Step by Step Solution

1. Step 1: Write the proportion equation
   5,686.16 : 7,849.34 = 3,824.24 : x
2. Step 2: Convert to fraction form
   5,686.16/7,849.34 = 3,824.24/x
3. Step 3: Cross multiply
   5,686.16x = 7,849.34 × 3,824.24
4. Step 4: Simplify right side
   5,686.16x = 30,017,760.00
5. Step 5: Solve for x
   x = 30,017,760.00/5,686.16
6. Step 6: Final answer
   x = 5,279.09