Finding the Fourth Proportional to 2,665.50, 3,678.92 and 1,546.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.50 : 3,678.92 = 1,546.68 : x
2. Step 2: Convert to fraction form
   2,665.50/3,678.92 = 1,546.68/x
3. Step 3: Cross multiply
   2,665.50x = 3,678.92 × 1,546.68
4. Step 4: Simplify right side
   2,665.50x = 5,690,111.99
5. Step 5: Solve for x
   x = 5,690,111.99/2,665.50
6. Step 6: Final answer
   x = 2,134.73