Finding the Fourth Proportional to 2,665.67, 3,678.80 and 1,546.97

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.67 : 3,678.80 = 1,546.97 : x
2. Step 2: Convert to fraction form
   2,665.67/3,678.80 = 1,546.97/x
3. Step 3: Cross multiply
   2,665.67x = 3,678.80 × 1,546.97
4. Step 4: Simplify right side
   2,665.67x = 5,690,967.11
5. Step 5: Solve for x
   x = 5,690,967.11/2,665.67
6. Step 6: Final answer
   x = 2,134.91