Finding the Fourth Proportional to 2,665.37, 3,678.39 and 1,546.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.37 : 3,678.39 = 1,546.58 : x
2. Step 2: Convert to fraction form
   2,665.37/3,678.39 = 1,546.58/x
3. Step 3: Cross multiply
   2,665.37x = 3,678.39 × 1,546.58
4. Step 4: Simplify right side
   2,665.37x = 5,688,906.01
5. Step 5: Solve for x
   x = 5,688,906.01/2,665.37
6. Step 6: Final answer
   x = 2,134.38