Finding the Fourth Proportional to 3,684.91, 5,085.18 and 2,006.32

Step by Step Solution

1. Step 1: Write the proportion equation
   3,684.91 : 5,085.18 = 2,006.32 : x
2. Step 2: Convert to fraction form
   3,684.91/5,085.18 = 2,006.32/x
3. Step 3: Cross multiply
   3,684.91x = 5,085.18 × 2,006.32
4. Step 4: Simplify right side
   3,684.91x = 10,202,498.34
5. Step 5: Solve for x
   x = 10,202,498.34/3,684.91
6. Step 6: Final answer
   x = 2,768.72