Finding the Fourth Proportional to 1,568.31, 2,164.22 and 869.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,568.31 : 2,164.22 = 869.67 : x
2. Step 2: Convert to fraction form
   1,568.31/2,164.22 = 869.67/x
3. Step 3: Cross multiply
   1,568.31x = 2,164.22 × 869.67
4. Step 4: Simplify right side
   1,568.31x = 1,882,152.86
5. Step 5: Solve for x
   x = 1,882,152.86/1,568.31
6. Step 6: Final answer
   x = 1,200.12