Finding the Fourth Proportional to 3,892.63, 5,804.67 and 3,857.53

Step by Step Solution

1. Step 1: Write the proportion equation
   3,892.63 : 5,804.67 = 3,857.53 : x
2. Step 2: Convert to fraction form
   3,892.63/5,804.67 = 3,857.53/x
3. Step 3: Cross multiply
   3,892.63x = 5,804.67 × 3,857.53
4. Step 4: Simplify right side
   3,892.63x = 22,391,669.38
5. Step 5: Solve for x
   x = 22,391,669.38/3,892.63
6. Step 6: Final answer
   x = 5,752.32