Finding the Fourth Proportional to 1,564.34, 2,158.71 and 865.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.34 : 2,158.71 = 865.76 : x
2. Step 2: Convert to fraction form
   1,564.34/2,158.71 = 865.76/x
3. Step 3: Cross multiply
   1,564.34x = 2,158.71 × 865.76
4. Step 4: Simplify right side
   1,564.34x = 1,868,924.77
5. Step 5: Solve for x
   x = 1,868,924.77/1,564.34
6. Step 6: Final answer
   x = 1,194.70