Finding the Fourth Proportional to 2,546.69, 3,514.40 and 1,427.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.69 : 3,514.40 = 1,427.90 : x
2. Step 2: Convert to fraction form
   2,546.69/3,514.40 = 1,427.90/x
3. Step 3: Cross multiply
   2,546.69x = 3,514.40 × 1,427.90
4. Step 4: Simplify right side
   2,546.69x = 5,018,211.76
5. Step 5: Solve for x
   x = 5,018,211.76/2,546.69
6. Step 6: Final answer
   x = 1,970.48