Finding the Fourth Proportional to 3,857.30, 5,792.50 and 3,660.02

Step by Step Solution

1. Step 1: Write the proportion equation
   3,857.30 : 5,792.50 = 3,660.02 : x
2. Step 2: Convert to fraction form
   3,857.30/5,792.50 = 3,660.02/x
3. Step 3: Cross multiply
   3,857.30x = 5,792.50 × 3,660.02
4. Step 4: Simplify right side
   3,857.30x = 21,200,665.85
5. Step 5: Solve for x
   x = 21,200,665.85/3,857.30
6. Step 6: Final answer
   x = 5,496.25