Finding the Fourth Proportional to 2,546.30, 3,513.74 and 1,427.00

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.30 : 3,513.74 = 1,427.00 : x
2. Step 2: Convert to fraction form
   2,546.30/3,513.74 = 1,427.00/x
3. Step 3: Cross multiply
   2,546.30x = 3,513.74 × 1,427.00
4. Step 4: Simplify right side
   2,546.30x = 5,014,082.28
5. Step 5: Solve for x
   x = 5,014,082.28/2,546.30
6. Step 6: Final answer
   x = 1,969.16