Finding the Fourth Proportional to 2,665.81, 3,678.56 and 1,546.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.81 : 3,678.56 = 1,546.82 : x
2. Step 2: Convert to fraction form
   2,665.81/3,678.56 = 1,546.82/x
3. Step 3: Cross multiply
   2,665.81x = 3,678.56 × 1,546.82
4. Step 4: Simplify right side
   2,665.81x = 5,690,062.45
5. Step 5: Solve for x
   x = 5,690,062.45/2,665.81
6. Step 6: Final answer
   x = 2,134.46