Finding the Fourth Proportional to 3,865.71, 5,792.38 and 3,763.20

Step by Step Solution

1. Step 1: Write the proportion equation
   3,865.71 : 5,792.38 = 3,763.20 : x
2. Step 2: Convert to fraction form
   3,865.71/5,792.38 = 3,763.20/x
3. Step 3: Cross multiply
   3,865.71x = 5,792.38 × 3,763.20
4. Step 4: Simplify right side
   3,865.71x = 21,797,884.42
5. Step 5: Solve for x
   x = 21,797,884.42/3,865.71
6. Step 6: Final answer
   x = 5,638.78