Finding the Fourth Proportional to 3,725.41, 5,142.69 and 2,382.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,725.41 : 5,142.69 = 2,382.78 : x
2. Step 2: Convert to fraction form
   3,725.41/5,142.69 = 2,382.78/x
3. Step 3: Cross multiply
   3,725.41x = 5,142.69 × 2,382.78
4. Step 4: Simplify right side
   3,725.41x = 12,253,898.88
5. Step 5: Solve for x
   x = 12,253,898.88/3,725.41
6. Step 6: Final answer
   x = 3,289.28