Finding the Fourth Proportional to 1,445.88, 2,165.34 and 827.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,445.88 : 2,165.34 = 827.72 : x
2. Step 2: Convert to fraction form
   1,445.88/2,165.34 = 827.72/x
3. Step 3: Cross multiply
   1,445.88x = 2,165.34 × 827.72
4. Step 4: Simplify right side
   1,445.88x = 1,792,295.22
5. Step 5: Solve for x
   x = 1,792,295.22/1,445.88
6. Step 6: Final answer
   x = 1,239.59