Finding the Fourth Proportional to 2,185.29, 3,276.77 and 1,142.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,185.29 : 3,276.77 = 1,142.78 : x
2. Step 2: Convert to fraction form
   2,185.29/3,276.77 = 1,142.78/x
3. Step 3: Cross multiply
   2,185.29x = 3,276.77 × 1,142.78
4. Step 4: Simplify right side
   2,185.29x = 3,744,605.12
5. Step 5: Solve for x
   x = 3,744,605.12/2,185.29
6. Step 6: Final answer
   x = 1,713.55