Finding the Fourth Proportional to 3,827.52, 5,775.71 and 3,690.23

Step by Step Solution

1. Step 1: Write the proportion equation
   3,827.52 : 5,775.71 = 3,690.23 : x
2. Step 2: Convert to fraction form
   3,827.52/5,775.71 = 3,690.23/x
3. Step 3: Cross multiply
   3,827.52x = 5,775.71 × 3,690.23
4. Step 4: Simplify right side
   3,827.52x = 21,313,650.98
5. Step 5: Solve for x
   x = 21,313,650.98/3,827.52
6. Step 6: Final answer
   x = 5,568.53