Finding the Fourth Proportional to 3,685.05, 5,085.46 and 2,006.55

Step by Step Solution

1. Step 1: Write the proportion equation
   3,685.05 : 5,085.46 = 2,006.55 : x
2. Step 2: Convert to fraction form
   3,685.05/5,085.46 = 2,006.55/x
3. Step 3: Cross multiply
   3,685.05x = 5,085.46 × 2,006.55
4. Step 4: Simplify right side
   3,685.05x = 10,204,223.41
5. Step 5: Solve for x
   x = 10,204,223.41/3,685.05
6. Step 6: Final answer
   x = 2,769.09