Finding the Fourth Proportional to 2,665.94, 3,684.06 and 2,001.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.94 : 3,684.06 = 2,001.65 : x
2. Step 2: Convert to fraction form
   2,665.94/3,684.06 = 2,001.65/x
3. Step 3: Cross multiply
   2,665.94x = 3,684.06 × 2,001.65
4. Step 4: Simplify right side
   2,665.94x = 7,374,198.70
5. Step 5: Solve for x
   x = 7,374,198.70/2,665.94
6. Step 6: Final answer
   x = 2,766.08