Finding the Fourth Proportional to 3,685.01, 5,085.32 and 2,006.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,685.01 : 5,085.32 = 2,006.42 : x
2. Step 2: Convert to fraction form
   3,685.01/5,085.32 = 2,006.42/x
3. Step 3: Cross multiply
   3,685.01x = 5,085.32 × 2,006.42
4. Step 4: Simplify right side
   3,685.01x = 10,203,252.30
5. Step 5: Solve for x
   x = 10,203,252.30/3,685.01
6. Step 6: Final answer
   x = 2,768.86