Finding the Fourth Proportional to 3,685.46, 5,085.89 and 2,006.86

Step by Step Solution

1. Step 1: Write the proportion equation
   3,685.46 : 5,085.89 = 2,006.86 : x
2. Step 2: Convert to fraction form
   3,685.46/5,085.89 = 2,006.86/x
3. Step 3: Cross multiply
   3,685.46x = 5,085.89 × 2,006.86
4. Step 4: Simplify right side
   3,685.46x = 10,206,661.51
5. Step 5: Solve for x
   x = 10,206,661.51/3,685.46
6. Step 6: Final answer
   x = 2,769.44