Finding the Fourth Proportional to 1,568.23, 2,164.23 and 869.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,568.23 : 2,164.23 = 869.62 : x
2. Step 2: Convert to fraction form
   1,568.23/2,164.23 = 869.62/x
3. Step 3: Cross multiply
   1,568.23x = 2,164.23 × 869.62
4. Step 4: Simplify right side
   1,568.23x = 1,882,057.69
5. Step 5: Solve for x
   x = 1,882,057.69/1,568.23
6. Step 6: Final answer
   x = 1,200.12