Finding the Fourth Proportional to 1,172.56, 1,759.69 and 865.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,172.56 : 1,759.69 = 865.24 : x
2. Step 2: Convert to fraction form
   1,172.56/1,759.69 = 865.24/x
3. Step 3: Cross multiply
   1,172.56x = 1,759.69 × 865.24
4. Step 4: Simplify right side
   1,172.56x = 1,522,550.86
5. Step 5: Solve for x
   x = 1,522,550.86/1,172.56
6. Step 6: Final answer
   x = 1,298.49