Finding the Fourth Proportional to 3,685.10, 5,085.18 and 2,006.51

Step by Step Solution

1. Step 1: Write the proportion equation
   3,685.10 : 5,085.18 = 2,006.51 : x
2. Step 2: Convert to fraction form
   3,685.10/5,085.18 = 2,006.51/x
3. Step 3: Cross multiply
   3,685.10x = 5,085.18 × 2,006.51
4. Step 4: Simplify right side
   3,685.10x = 10,203,439.10
5. Step 5: Solve for x
   x = 10,203,439.10/3,685.10
6. Step 6: Final answer
   x = 2,768.84