Finding the Fourth Proportional to 4,178.46, 5,764.32 and 2,409.42

Step by Step Solution

1. Step 1: Write the proportion equation
   4,178.46 : 5,764.32 = 2,409.42 : x
2. Step 2: Convert to fraction form
   4,178.46/5,764.32 = 2,409.42/x
3. Step 3: Cross multiply
   4,178.46x = 5,764.32 × 2,409.42
4. Step 4: Simplify right side
   4,178.46x = 13,888,667.89
5. Step 5: Solve for x
   x = 13,888,667.89/4,178.46
6. Step 6: Final answer
   x = 3,323.87