Finding the Fourth Proportional to 1,564.94, 2,159.40 and 935.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.94 : 2,159.40 = 935.33 : x
2. Step 2: Convert to fraction form
   1,564.94/2,159.40 = 935.33/x
3. Step 3: Cross multiply
   1,564.94x = 2,159.40 × 935.33
4. Step 4: Simplify right side
   1,564.94x = 2,019,753.83
5. Step 5: Solve for x
   x = 2,019,753.83/1,564.94
6. Step 6: Final answer
   x = 1,290.63