Finding the Fourth Proportional to 2,546.96, 3,514.77 and 1,427.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.96 : 3,514.77 = 1,427.90 : x
2. Step 2: Convert to fraction form
   2,546.96/3,514.77 = 1,427.90/x
3. Step 3: Cross multiply
   2,546.96x = 3,514.77 × 1,427.90
4. Step 4: Simplify right side
   2,546.96x = 5,018,722.51
5. Step 5: Solve for x
   x = 5,018,722.51/2,546.96
6. Step 6: Final answer
   x = 1,970.48