Finding the Fourth Proportional to 3,205.69, 4,802.30 and 2,106.71

Step by Step Solution

1. Step 1: Write the proportion equation
   3,205.69 : 4,802.30 = 2,106.71 : x
2. Step 2: Convert to fraction form
   3,205.69/4,802.30 = 2,106.71/x
3. Step 3: Cross multiply
   3,205.69x = 4,802.30 × 2,106.71
4. Step 4: Simplify right side
   3,205.69x = 10,117,042.90
5. Step 5: Solve for x
   x = 10,117,042.90/3,205.69
6. Step 6: Final answer
   x = 3,155.97