Finding the Fourth Proportional to 2,665.38, 3,678.18 and 1,546.29

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.38 : 3,678.18 = 1,546.29 : x
2. Step 2: Convert to fraction form
   2,665.38/3,678.18 = 1,546.29/x
3. Step 3: Cross multiply
   2,665.38x = 3,678.18 × 1,546.29
4. Step 4: Simplify right side
   2,665.38x = 5,687,532.95
5. Step 5: Solve for x
   x = 5,687,532.95/2,665.38
6. Step 6: Final answer
   x = 2,133.85