Finding the Fourth Proportional to 2,665.62, 3,678.20 and 1,546.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.62 : 3,678.20 = 1,546.48 : x
2. Step 2: Convert to fraction form
   2,665.62/3,678.20 = 1,546.48/x
3. Step 3: Cross multiply
   2,665.62x = 3,678.20 × 1,546.48
4. Step 4: Simplify right side
   2,665.62x = 5,688,262.74
5. Step 5: Solve for x
   x = 5,688,262.74/2,665.62
6. Step 6: Final answer
   x = 2,133.94