Finding the Fourth Proportional to 1,352.59, 1,865.72 and 827.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,352.59 : 1,865.72 = 827.71 : x
2. Step 2: Convert to fraction form
   1,352.59/1,865.72 = 827.71/x
3. Step 3: Cross multiply
   1,352.59x = 1,865.72 × 827.71
4. Step 4: Simplify right side
   1,352.59x = 1,544,270.96
5. Step 5: Solve for x
   x = 1,544,270.96/1,352.59
6. Step 6: Final answer
   x = 1,141.71