Finding the Fourth Proportional to 2,546.08, 3,513.66 and 1,427

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.08 : 3,513.66 = 1,427 : x
2. Step 2: Convert to fraction form
   2,546.08/3,513.66 = 1,427/x
3. Step 3: Cross multiply
   2,546.08x = 3,513.66 × 1,427
4. Step 4: Simplify right side
   2,546.08x = 5,013,992.82
5. Step 5: Solve for x
   x = 5,013,992.82/2,546.08
6. Step 6: Final answer
   x = 1,969.30