Finding the Fourth Proportional to 3,685.48, 5,085.90 and 2,006.92

Step by Step Solution

1. Step 1: Write the proportion equation
   3,685.48 : 5,085.90 = 2,006.92 : x
2. Step 2: Convert to fraction form
   3,685.48/5,085.90 = 2,006.92/x
3. Step 3: Cross multiply
   3,685.48x = 5,085.90 × 2,006.92
4. Step 4: Simplify right side
   3,685.48x = 10,206,994.43
5. Step 5: Solve for x
   x = 10,206,994.43/3,685.48
6. Step 6: Final answer
   x = 2,769.52