Finding the Fourth Proportional to 2,546.34, 3,514.14 and 1,427.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.34 : 3,514.14 = 1,427.28 : x
2. Step 2: Convert to fraction form
   2,546.34/3,514.14 = 1,427.28/x
3. Step 3: Cross multiply
   2,546.34x = 3,514.14 × 1,427.28
4. Step 4: Simplify right side
   2,546.34x = 5,015,661.74
5. Step 5: Solve for x
   x = 5,015,661.74/2,546.34
6. Step 6: Final answer
   x = 1,969.75