Finding the Fourth Proportional to 2,546.14, 3,513.49 and 1,427.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.14 : 3,513.49 = 1,427.07 : x
2. Step 2: Convert to fraction form
   2,546.14/3,513.49 = 1,427.07/x
3. Step 3: Cross multiply
   2,546.14x = 3,513.49 × 1,427.07
4. Step 4: Simplify right side
   2,546.14x = 5,013,996.17
5. Step 5: Solve for x
   x = 5,013,996.17/2,546.14
6. Step 6: Final answer
   x = 1,969.25