Finding the Fourth Proportional to 2,546.60, 3,514.47 and 1,664.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.60 : 3,514.47 = 1,664.78 : x
2. Step 2: Convert to fraction form
   2,546.60/3,514.47 = 1,664.78/x
3. Step 3: Cross multiply
   2,546.60x = 3,514.47 × 1,664.78
4. Step 4: Simplify right side
   2,546.60x = 5,850,819.37
5. Step 5: Solve for x
   x = 5,850,819.37/2,546.60
6. Step 6: Final answer
   x = 2,297.50