Finding the Fourth Proportional to 1,152.67, 1,727.38 and 864.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.67 : 1,727.38 = 864.31 : x
2. Step 2: Convert to fraction form
   1,152.67/1,727.38 = 864.31/x
3. Step 3: Cross multiply
   1,152.67x = 1,727.38 × 864.31
4. Step 4: Simplify right side
   1,152.67x = 1,492,988.57
5. Step 5: Solve for x
   x = 1,492,988.57/1,152.67
6. Step 6: Final answer
   x = 1,295.25