Finding the Fourth Proportional to 1,583.52, 2,185.27 and 865.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,583.52 : 2,185.27 = 865.71 : x
2. Step 2: Convert to fraction form
   1,583.52/2,185.27 = 865.71/x
3. Step 3: Cross multiply
   1,583.52x = 2,185.27 × 865.71
4. Step 4: Simplify right side
   1,583.52x = 1,891,820.16
5. Step 5: Solve for x
   x = 1,891,820.16/1,583.52
6. Step 6: Final answer
   x = 1,194.69