Finding the Fourth Proportional to 4,185.81, 5,776.43 and 2,417.42

Step by Step Solution

1. Step 1: Write the proportion equation
   4,185.81 : 5,776.43 = 2,417.42 : x
2. Step 2: Convert to fraction form
   4,185.81/5,776.43 = 2,417.42/x
3. Step 3: Cross multiply
   4,185.81x = 5,776.43 × 2,417.42
4. Step 4: Simplify right side
   4,185.81x = 13,964,059.76
5. Step 5: Solve for x
   x = 13,964,059.76/4,185.81
6. Step 6: Final answer
   x = 3,336.05