Finding the Fourth Proportional to 1,568.47, 2,164.56 and 869.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,568.47 : 2,164.56 = 869.84 : x
2. Step 2: Convert to fraction form
   1,568.47/2,164.56 = 869.84/x
3. Step 3: Cross multiply
   1,568.47x = 2,164.56 × 869.84
4. Step 4: Simplify right side
   1,568.47x = 1,882,820.87
5. Step 5: Solve for x
   x = 1,882,820.87/1,568.47
6. Step 6: Final answer
   x = 1,200.42