Finding the Fourth Proportional to 1,564.38, 2,158.86 and 865.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.38 : 2,158.86 = 865.76 : x
2. Step 2: Convert to fraction form
   1,564.38/2,158.86 = 865.76/x
3. Step 3: Cross multiply
   1,564.38x = 2,158.86 × 865.76
4. Step 4: Simplify right side
   1,564.38x = 1,869,054.63
5. Step 5: Solve for x
   x = 1,869,054.63/1,564.38
6. Step 6: Final answer
   x = 1,194.76