Finding the Fourth Proportional to 2,546.71, 3,513.67 and 1,427.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.71 : 3,513.67 = 1,427.49 : x
2. Step 2: Convert to fraction form
   2,546.71/3,513.67 = 1,427.49/x
3. Step 3: Cross multiply
   2,546.71x = 3,513.67 × 1,427.49
4. Step 4: Simplify right side
   2,546.71x = 5,015,725.22
5. Step 5: Solve for x
   x = 5,015,725.22/2,546.71
6. Step 6: Final answer
   x = 1,969.49