Finding the Fourth Proportional to 4,151.34, 5,727.69 and 2,382.30

Step by Step Solution

1. Step 1: Write the proportion equation
   4,151.34 : 5,727.69 = 2,382.30 : x
2. Step 2: Convert to fraction form
   4,151.34/5,727.69 = 2,382.30/x
3. Step 3: Cross multiply
   4,151.34x = 5,727.69 × 2,382.30
4. Step 4: Simplify right side
   4,151.34x = 13,645,075.89
5. Step 5: Solve for x
   x = 13,645,075.89/4,151.34
6. Step 6: Final answer
   x = 3,286.91