Finding the Fourth Proportional to 2,665.26, 3,678.02 and 1,546.39

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.26 : 3,678.02 = 1,546.39 : x
2. Step 2: Convert to fraction form
   2,665.26/3,678.02 = 1,546.39/x
3. Step 3: Cross multiply
   2,665.26x = 3,678.02 × 1,546.39
4. Step 4: Simplify right side
   2,665.26x = 5,687,627.23
5. Step 5: Solve for x
   x = 5,687,627.23/2,665.26
6. Step 6: Final answer
   x = 2,133.99