Finding the Fourth Proportional to 1,565.34, 2,159.82 and 936.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,565.34 : 2,159.82 = 936.09 : x
2. Step 2: Convert to fraction form
   1,565.34/2,159.82 = 936.09/x
3. Step 3: Cross multiply
   1,565.34x = 2,159.82 × 936.09
4. Step 4: Simplify right side
   1,565.34x = 2,021,785.90
5. Step 5: Solve for x
   x = 2,021,785.90/1,565.34
6. Step 6: Final answer
   x = 1,291.60