Finding the Fourth Proportional to 1,565.89, 2,160.71 and 867.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,565.89 : 2,160.71 = 867.31 : x
2. Step 2: Convert to fraction form
   1,565.89/2,160.71 = 867.31/x
3. Step 3: Cross multiply
   1,565.89x = 2,160.71 × 867.31
4. Step 4: Simplify right side
   1,565.89x = 1,874,005.39
5. Step 5: Solve for x
   x = 1,874,005.39/1,565.89
6. Step 6: Final answer
   x = 1,196.77