Finding the Fourth Proportional to 2,665.38, 3,678.23 and 1,486.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.38 : 3,678.23 = 1,486.69 : x
2. Step 2: Convert to fraction form
   2,665.38/3,678.23 = 1,486.69/x
3. Step 3: Cross multiply
   2,665.38x = 3,678.23 × 1,486.69
4. Step 4: Simplify right side
   2,665.38x = 5,468,387.76
5. Step 5: Solve for x
   x = 5,468,387.76/2,665.38
6. Step 6: Final answer
   x = 2,051.64