Finding the Fourth Proportional to 4,185.83, 5,776.34 and 2,297.42

Step by Step Solution

1. Step 1: Write the proportion equation
   4,185.83 : 5,776.34 = 2,297.42 : x
2. Step 2: Convert to fraction form
   4,185.83/5,776.34 = 2,297.42/x
3. Step 3: Cross multiply
   4,185.83x = 5,776.34 × 2,297.42
4. Step 4: Simplify right side
   4,185.83x = 13,270,679.04
5. Step 5: Solve for x
   x = 13,270,679.04/4,185.83
6. Step 6: Final answer
   x = 3,170.38