Finding the Fourth Proportional to 2,666.15, 3,678.66 and 1,546.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,666.15 : 3,678.66 = 1,546.46 : x
2. Step 2: Convert to fraction form
   2,666.15/3,678.66 = 1,546.46/x
3. Step 3: Cross multiply
   2,666.15x = 3,678.66 × 1,546.46
4. Step 4: Simplify right side
   2,666.15x = 5,688,882.15
5. Step 5: Solve for x
   x = 5,688,882.15/2,666.15
6. Step 6: Final answer
   x = 2,133.75