Finding the Fourth Proportional to 2,546.89, 3,514.50 and 1,427.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.89 : 3,514.50 = 1,427.57 : x
2. Step 2: Convert to fraction form
   2,546.89/3,514.50 = 1,427.57/x
3. Step 3: Cross multiply
   2,546.89x = 3,514.50 × 1,427.57
4. Step 4: Simplify right side
   2,546.89x = 5,017,194.77
5. Step 5: Solve for x
   x = 5,017,194.77/2,546.89
6. Step 6: Final answer
   x = 1,969.93