Finding the Fourth Proportional to 2,546.62, 3,514.47 and 1,427.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.62 : 3,514.47 = 1,427.81 : x
2. Step 2: Convert to fraction form
   2,546.62/3,514.47 = 1,427.81/x
3. Step 3: Cross multiply
   2,546.62x = 3,514.47 × 1,427.81
4. Step 4: Simplify right side
   2,546.62x = 5,017,995.41
5. Step 5: Solve for x
   x = 5,017,995.41/2,546.62
6. Step 6: Final answer
   x = 1,970.45