Finding the Fourth Proportional to 3,827.28, 5,724.15 and 3,547.07

Step by Step Solution

1. Step 1: Write the proportion equation
   3,827.28 : 5,724.15 = 3,547.07 : x
2. Step 2: Convert to fraction form
   3,827.28/5,724.15 = 3,547.07/x
3. Step 3: Cross multiply
   3,827.28x = 5,724.15 × 3,547.07
4. Step 4: Simplify right side
   3,827.28x = 20,303,932.12
5. Step 5: Solve for x
   x = 20,303,932.12/3,827.28
6. Step 6: Final answer
   x = 5,305.06