Finding the Fourth Proportional to 2,126.10, 3,188.34 and 827.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,126.10 : 3,188.34 = 827.27 : x
2. Step 2: Convert to fraction form
   2,126.10/3,188.34 = 827.27/x
3. Step 3: Cross multiply
   2,126.10x = 3,188.34 × 827.27
4. Step 4: Simplify right side
   2,126.10x = 2,637,618.03
5. Step 5: Solve for x
   x = 2,637,618.03/2,126.10
6. Step 6: Final answer
   x = 1,240.59