Finding the Fourth Proportional to 1,443.52, 2,164.62 and 827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,443.52 : 2,164.62 = 827.50 : x
2. Step 2: Convert to fraction form
   1,443.52/2,164.62 = 827.50/x
3. Step 3: Cross multiply
   1,443.52x = 2,164.62 × 827.50
4. Step 4: Simplify right side
   1,443.52x = 1,791,223.05
5. Step 5: Solve for x
   x = 1,791,223.05/1,443.52
6. Step 6: Final answer
   x = 1,240.87