Finding the Fourth Proportional to 1,568.46, 2,164.56 and 869.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,568.46 : 2,164.56 = 869.85 : x
2. Step 2: Convert to fraction form
   1,568.46/2,164.56 = 869.85/x
3. Step 3: Cross multiply
   1,568.46x = 2,164.56 × 869.85
4. Step 4: Simplify right side
   1,568.46x = 1,882,842.52
5. Step 5: Solve for x
   x = 1,882,842.52/1,568.46
6. Step 6: Final answer
   x = 1,200.44