Finding the Fourth Proportional to 1,387.26, 1,914.42 and 827.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,387.26 : 1,914.42 = 827.72 : x
2. Step 2: Convert to fraction form
   1,387.26/1,914.42 = 827.72/x
3. Step 3: Cross multiply
   1,387.26x = 1,914.42 × 827.72
4. Step 4: Simplify right side
   1,387.26x = 1,584,603.72
5. Step 5: Solve for x
   x = 1,584,603.72/1,387.26
6. Step 6: Final answer
   x = 1,142.25