Finding the Fourth Proportional to 1,019.25, 1,524.69 and 865.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.25 : 1,524.69 = 865.62 : x
2. Step 2: Convert to fraction form
   1,019.25/1,524.69 = 865.62/x
3. Step 3: Cross multiply
   1,019.25x = 1,524.69 × 865.62
4. Step 4: Simplify right side
   1,019.25x = 1,319,802.16
5. Step 5: Solve for x
   x = 1,319,802.16/1,019.25
6. Step 6: Final answer
   x = 1,294.88