Finding the Fourth Proportional to 4,185.94, 5,776.56 and 2,297.56

Step by Step Solution

1. Step 1: Write the proportion equation
   4,185.94 : 5,776.56 = 2,297.56 : x
2. Step 2: Convert to fraction form
   4,185.94/5,776.56 = 2,297.56/x
3. Step 3: Cross multiply
   4,185.94x = 5,776.56 × 2,297.56
4. Step 4: Simplify right side
   4,185.94x = 13,271,993.19
5. Step 5: Solve for x
   x = 13,271,993.19/4,185.94
6. Step 6: Final answer
   x = 3,170.61