Finding the Fourth Proportional to 1,152.88, 1,729.33 and 287.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.88 : 1,729.33 = 287.19 : x
2. Step 2: Convert to fraction form
   1,152.88/1,729.33 = 287.19/x
3. Step 3: Cross multiply
   1,152.88x = 1,729.33 × 287.19
4. Step 4: Simplify right side
   1,152.88x = 496,648.27
5. Step 5: Solve for x
   x = 496,648.27/1,152.88
6. Step 6: Final answer
   x = 430.79