Finding the Fourth Proportional to 3,829.61, 5,284.71 and 2,340.02

Step by Step Solution

1. Step 1: Write the proportion equation
   3,829.61 : 5,284.71 = 2,340.02 : x
2. Step 2: Convert to fraction form
   3,829.61/5,284.71 = 2,340.02/x
3. Step 3: Cross multiply
   3,829.61x = 5,284.71 × 2,340.02
4. Step 4: Simplify right side
   3,829.61x = 12,366,300.67
5. Step 5: Solve for x
   x = 12,366,300.67/3,829.61
6. Step 6: Final answer
   x = 3,229.13