Finding the Fourth Proportional to 1,601.32, 2,209.82 and 865.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,601.32 : 2,209.82 = 865.32 : x
2. Step 2: Convert to fraction form
   1,601.32/2,209.82 = 865.32/x
3. Step 3: Cross multiply
   1,601.32x = 2,209.82 × 865.32
4. Step 4: Simplify right side
   1,601.32x = 1,912,186.07
5. Step 5: Solve for x
   x = 1,912,186.07/1,601.32
6. Step 6: Final answer
   x = 1,194.13