Finding the Fourth Proportional to 1,568.34, 2,164.14 and 869.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,568.34 : 2,164.14 = 869.58 : x
2. Step 2: Convert to fraction form
   1,568.34/2,164.14 = 869.58/x
3. Step 3: Cross multiply
   1,568.34x = 2,164.14 × 869.58
4. Step 4: Simplify right side
   1,568.34x = 1,881,892.86
5. Step 5: Solve for x
   x = 1,881,892.86/1,568.34
6. Step 6: Final answer
   x = 1,199.93