Finding the Fourth Proportional to 3,857.10, 5,322.89 and 2,264.20

Step by Step Solution

1. Step 1: Write the proportion equation
   3,857.10 : 5,322.89 = 2,264.20 : x
2. Step 2: Convert to fraction form
   3,857.10/5,322.89 = 2,264.20/x
3. Step 3: Cross multiply
   3,857.10x = 5,322.89 × 2,264.20
4. Step 4: Simplify right side
   3,857.10x = 12,052,103.46
5. Step 5: Solve for x
   x = 12,052,103.46/3,857.10
6. Step 6: Final answer
   x = 3,124.65