Finding the Fourth Proportional to 2,664.69, 3,678.06 and 1,546.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,664.69 : 3,678.06 = 1,546.15 : x
2. Step 2: Convert to fraction form
   2,664.69/3,678.06 = 1,546.15/x
3. Step 3: Cross multiply
   2,664.69x = 3,678.06 × 1,546.15
4. Step 4: Simplify right side
   2,664.69x = 5,686,832.47
5. Step 5: Solve for x
   x = 5,686,832.47/2,664.69
6. Step 6: Final answer
   x = 2,134.14