Finding the Fourth Proportional to 4,147.89, 5,724.42 and 2,380.07

Step by Step Solution

1. Step 1: Write the proportion equation
   4,147.89 : 5,724.42 = 2,380.07 : x
2. Step 2: Convert to fraction form
   4,147.89/5,724.42 = 2,380.07/x
3. Step 3: Cross multiply
   4,147.89x = 5,724.42 × 2,380.07
4. Step 4: Simplify right side
   4,147.89x = 13,624,491.69
5. Step 5: Solve for x
   x = 13,624,491.69/4,147.89
6. Step 6: Final answer
   x = 3,284.68