Finding the Fourth Proportional to 2,127.82, 3,190.50 and 827.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,127.82 : 3,190.50 = 827.77 : x
2. Step 2: Convert to fraction form
   2,127.82/3,190.50 = 827.77/x
3. Step 3: Cross multiply
   2,127.82x = 3,190.50 × 827.77
4. Step 4: Simplify right side
   2,127.82x = 2,640,992.21
5. Step 5: Solve for x
   x = 2,640,992.21/2,127.82
6. Step 6: Final answer
   x = 1,241.17