Finding the Fourth Proportional to 1,568.38, 2,164.17 and 869.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,568.38 : 2,164.17 = 869.89 : x
2. Step 2: Convert to fraction form
   1,568.38/2,164.17 = 869.89/x
3. Step 3: Cross multiply
   1,568.38x = 2,164.17 × 869.89
4. Step 4: Simplify right side
   1,568.38x = 1,882,589.84
5. Step 5: Solve for x
   x = 1,882,589.84/1,568.38
6. Step 6: Final answer
   x = 1,200.34