Finding the Fourth Proportional to 2,546.68, 3,514.50 and 1,427.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.68 : 3,514.50 = 1,427.80 : x
2. Step 2: Convert to fraction form
   2,546.68/3,514.50 = 1,427.80/x
3. Step 3: Cross multiply
   2,546.68x = 3,514.50 × 1,427.80
4. Step 4: Simplify right side
   2,546.68x = 5,018,003.10
5. Step 5: Solve for x
   x = 5,018,003.10/2,546.68
6. Step 6: Final answer
   x = 1,970.41