Finding the Fourth Proportional to 2,546.25, 3,513.77 and 1,427.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.25 : 3,513.77 = 1,427.16 : x
2. Step 2: Convert to fraction form
   2,546.25/3,513.77 = 1,427.16/x
3. Step 3: Cross multiply
   2,546.25x = 3,513.77 × 1,427.16
4. Step 4: Simplify right side
   2,546.25x = 5,014,705.53
5. Step 5: Solve for x
   x = 5,014,705.53/2,546.25
6. Step 6: Final answer
   x = 1,969.45