Finding the Fourth Proportional to 3,685.38, 5,085.72 and 2,006.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,685.38 : 5,085.72 = 2,006.75 : x
2. Step 2: Convert to fraction form
   3,685.38/5,085.72 = 2,006.75/x
3. Step 3: Cross multiply
   3,685.38x = 5,085.72 × 2,006.75
4. Step 4: Simplify right side
   3,685.38x = 10,205,733.15
5. Step 5: Solve for x
   x = 10,205,733.15/3,685.38
6. Step 6: Final answer
   x = 2,769.25