Finding the Fourth Proportional to 2,665.83, 3,678.03 and 1,546.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.83 : 3,678.03 = 1,546.38 : x
2. Step 2: Convert to fraction form
   2,665.83/3,678.03 = 1,546.38/x
3. Step 3: Cross multiply
   2,665.83x = 3,678.03 × 1,546.38
4. Step 4: Simplify right side
   2,665.83x = 5,687,632.03
5. Step 5: Solve for x
   x = 5,687,632.03/2,665.83
6. Step 6: Final answer
   x = 2,133.53