Finding the Fourth Proportional to 2,665.89, 3,678.87 and 1,546.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.89 : 3,678.87 = 1,546.92 : x
2. Step 2: Convert to fraction form
   2,665.89/3,678.87 = 1,546.92/x
3. Step 3: Cross multiply
   2,665.89x = 3,678.87 × 1,546.92
4. Step 4: Simplify right side
   2,665.89x = 5,690,917.58
5. Step 5: Solve for x
   x = 5,690,917.58/2,665.89
6. Step 6: Final answer
   x = 2,134.72