Finding the Fourth Proportional to 1,535.24, 2,300.96 and 712.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.24 : 2,300.96 = 712.38 : x
2. Step 2: Convert to fraction form
   1,535.24/2,300.96 = 712.38/x
3. Step 3: Cross multiply
   1,535.24x = 2,300.96 × 712.38
4. Step 4: Simplify right side
   1,535.24x = 1,639,157.88
5. Step 5: Solve for x
   x = 1,639,157.88/1,535.24
6. Step 6: Final answer
   x = 1,067.69