Finding the Fourth Proportional to 4,185.81, 5,776.52 and 2,297.47

Step by Step Solution

1. Step 1: Write the proportion equation
   4,185.81 : 5,776.52 = 2,297.47 : x
2. Step 2: Convert to fraction form
   4,185.81/5,776.52 = 2,297.47/x
3. Step 3: Cross multiply
   4,185.81x = 5,776.52 × 2,297.47
4. Step 4: Simplify right side
   4,185.81x = 13,271,381.40
5. Step 5: Solve for x
   x = 13,271,381.40/4,185.81
6. Step 6: Final answer
   x = 3,170.56