Finding the Fourth Proportional to 2,546.56, 3,514.46 and 1,427.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.56 : 3,514.46 = 1,427.75 : x
2. Step 2: Convert to fraction form
   2,546.56/3,514.46 = 1,427.75/x
3. Step 3: Cross multiply
   2,546.56x = 3,514.46 × 1,427.75
4. Step 4: Simplify right side
   2,546.56x = 5,017,770.27
5. Step 5: Solve for x
   x = 5,017,770.27/2,546.56
6. Step 6: Final answer
   x = 1,970.41