Finding the Fourth Proportional to 2,665.38, 3,678.51 and 1,486.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.38 : 3,678.51 = 1,486.86 : x
2. Step 2: Convert to fraction form
   2,665.38/3,678.51 = 1,486.86/x
3. Step 3: Cross multiply
   2,665.38x = 3,678.51 × 1,486.86
4. Step 4: Simplify right side
   2,665.38x = 5,469,429.38
5. Step 5: Solve for x
   x = 5,469,429.38/2,665.38
6. Step 6: Final answer
   x = 2,052.03