Finding the Fourth Proportional to 2,142.15, 3,208.98 and 1,677.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142.15 : 3,208.98 = 1,677.77 : x
2. Step 2: Convert to fraction form
   2,142.15/3,208.98 = 1,677.77/x
3. Step 3: Cross multiply
   2,142.15x = 3,208.98 × 1,677.77
4. Step 4: Simplify right side
   2,142.15x = 5,383,914.33
5. Step 5: Solve for x
   x = 5,383,914.33/2,142.15
6. Step 6: Final answer
   x = 2,513.32