Finding the Fourth Proportional to 5,228.27, 7,838.29 and 3,579.82

Step by Step Solution

1. Step 1: Write the proportion equation
   5,228.27 : 7,838.29 = 3,579.82 : x
2. Step 2: Convert to fraction form
   5,228.27/7,838.29 = 3,579.82/x
3. Step 3: Cross multiply
   5,228.27x = 7,838.29 × 3,579.82
4. Step 4: Simplify right side
   5,228.27x = 28,059,667.31
5. Step 5: Solve for x
   x = 28,059,667.31/5,228.27
6. Step 6: Final answer
   x = 5,366.91