Finding the Fourth Proportional to 2,546.64, 3,513.98 and 1,427.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.64 : 3,513.98 = 1,427.56 : x
2. Step 2: Convert to fraction form
   2,546.64/3,513.98 = 1,427.56/x
3. Step 3: Cross multiply
   2,546.64x = 3,513.98 × 1,427.56
4. Step 4: Simplify right side
   2,546.64x = 5,016,417.29
5. Step 5: Solve for x
   x = 5,016,417.29/2,546.64
6. Step 6: Final answer
   x = 1,969.82