Finding the Fourth Proportional to 1,997.52, 2,997.49 and 827.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,997.52 : 2,997.49 = 827.55 : x
2. Step 2: Convert to fraction form
   1,997.52/2,997.49 = 827.55/x
3. Step 3: Cross multiply
   1,997.52x = 2,997.49 × 827.55
4. Step 4: Simplify right side
   1,997.52x = 2,480,570.78
5. Step 5: Solve for x
   x = 2,480,570.78/1,997.52
6. Step 6: Final answer
   x = 1,241.83