Finding the Fourth Proportional to 2,665.77, 3,678.41 and 1,546.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.77 : 3,678.41 = 1,546.55 : x
2. Step 2: Convert to fraction form
   2,665.77/3,678.41 = 1,546.55/x
3. Step 3: Cross multiply
   2,665.77x = 3,678.41 × 1,546.55
4. Step 4: Simplify right side
   2,665.77x = 5,688,846.84
5. Step 5: Solve for x
   x = 5,688,846.84/2,665.77
6. Step 6: Final answer
   x = 2,134.03