Finding the Fourth Proportional to 2,546.80, 3,514.55 and 1,427.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.80 : 3,514.55 = 1,427.78 : x
2. Step 2: Convert to fraction form
   2,546.80/3,514.55 = 1,427.78/x
3. Step 3: Cross multiply
   2,546.80x = 3,514.55 × 1,427.78
4. Step 4: Simplify right side
   2,546.80x = 5,018,004.20
5. Step 5: Solve for x
   x = 5,018,004.20/2,546.80
6. Step 6: Final answer
   x = 1,970.32