Finding the Fourth Proportional to 5,744.27, 7,919.75 and 3,852.86

Step by Step Solution

1. Step 1: Write the proportion equation
   5,744.27 : 7,919.75 = 3,852.86 : x
2. Step 2: Convert to fraction form
   5,744.27/7,919.75 = 3,852.86/x
3. Step 3: Cross multiply
   5,744.27x = 7,919.75 × 3,852.86
4. Step 4: Simplify right side
   5,744.27x = 30,513,629.12
5. Step 5: Solve for x
   x = 30,513,629.12/5,744.27
6. Step 6: Final answer
   x = 5,312.02