Finding the Fourth Proportional to 2,665.94, 3,680 and 2,004.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.94 : 3,680 = 2,004.72 : x
2. Step 2: Convert to fraction form
   2,665.94/3,680 = 2,004.72/x
3. Step 3: Cross multiply
   2,665.94x = 3,680 × 2,004.72
4. Step 4: Simplify right side
   2,665.94x = 7,377,369.60
5. Step 5: Solve for x
   x = 7,377,369.60/2,665.94
6. Step 6: Final answer
   x = 2,767.27