Finding the Fourth Proportional to 1,535.34, 2,300.69 and 712.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.34 : 2,300.69 = 712.65 : x
2. Step 2: Convert to fraction form
   1,535.34/2,300.69 = 712.65/x
3. Step 3: Cross multiply
   1,535.34x = 2,300.69 × 712.65
4. Step 4: Simplify right side
   1,535.34x = 1,639,588.51
5. Step 5: Solve for x
   x = 1,639,588.51/1,535.34
6. Step 6: Final answer
   x = 1,067.90