Finding the Fourth Proportional to 4,185.82, 5,776.52 and 2,297.48

Step by Step Solution

1. Step 1: Write the proportion equation
   4,185.82 : 5,776.52 = 2,297.48 : x
2. Step 2: Convert to fraction form
   4,185.82/5,776.52 = 2,297.48/x
3. Step 3: Cross multiply
   4,185.82x = 5,776.52 × 2,297.48
4. Step 4: Simplify right side
   4,185.82x = 13,271,439.17
5. Step 5: Solve for x
   x = 13,271,439.17/4,185.82
6. Step 6: Final answer
   x = 3,170.57