Finding the Fourth Proportional to 2,665.63, 3,678.49 and 1,546.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.63 : 3,678.49 = 1,546.49 : x
2. Step 2: Convert to fraction form
   2,665.63/3,678.49 = 1,546.49/x
3. Step 3: Cross multiply
   2,665.63x = 3,678.49 × 1,546.49
4. Step 4: Simplify right side
   2,665.63x = 5,688,721.88
5. Step 5: Solve for x
   x = 5,688,721.88/2,665.63
6. Step 6: Final answer
   x = 2,134.10