Finding the Fourth Proportional to 3,857.05, 5,792.10 and 3,659.77

Step by Step Solution

1. Step 1: Write the proportion equation
   3,857.05 : 5,792.10 = 3,659.77 : x
2. Step 2: Convert to fraction form
   3,857.05/5,792.10 = 3,659.77/x
3. Step 3: Cross multiply
   3,857.05x = 5,792.10 × 3,659.77
4. Step 4: Simplify right side
   3,857.05x = 21,197,753.82
5. Step 5: Solve for x
   x = 21,197,753.82/3,857.05
6. Step 6: Final answer
   x = 5,495.85