Finding the Fourth Proportional to 2,665.48, 3,678.44 and 1,486.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.48 : 3,678.44 = 1,486.78 : x
2. Step 2: Convert to fraction form
   2,665.48/3,678.44 = 1,486.78/x
3. Step 3: Cross multiply
   2,665.48x = 3,678.44 × 1,486.78
4. Step 4: Simplify right side
   2,665.48x = 5,469,031.02
5. Step 5: Solve for x
   x = 5,469,031.02/2,665.48
6. Step 6: Final answer
   x = 2,051.80