Finding the Fourth Proportional to 2,546.42, 3,514.11 and 1,427.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.42 : 3,514.11 = 1,427.30 : x
2. Step 2: Convert to fraction form
   2,546.42/3,514.11 = 1,427.30/x
3. Step 3: Cross multiply
   2,546.42x = 3,514.11 × 1,427.30
4. Step 4: Simplify right side
   2,546.42x = 5,015,671.63
5. Step 5: Solve for x
   x = 5,015,671.63/2,546.42
6. Step 6: Final answer
   x = 1,969.70