Finding the Fourth Proportional to 1,564.30, 2,158.72 and 865.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.30 : 2,158.72 = 865.68 : x
2. Step 2: Convert to fraction form
   1,564.30/2,158.72 = 865.68/x
3. Step 3: Cross multiply
   1,564.30x = 2,158.72 × 865.68
4. Step 4: Simplify right side
   1,564.30x = 1,868,760.73
5. Step 5: Solve for x
   x = 1,868,760.73/1,564.30
6. Step 6: Final answer
   x = 1,194.63