Finding the Fourth Proportional to 1,535.60, 2,300.28 and 712.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.60 : 2,300.28 = 712.76 : x
2. Step 2: Convert to fraction form
   1,535.60/2,300.28 = 712.76/x
3. Step 3: Cross multiply
   1,535.60x = 2,300.28 × 712.76
4. Step 4: Simplify right side
   1,535.60x = 1,639,547.57
5. Step 5: Solve for x
   x = 1,639,547.57/1,535.60
6. Step 6: Final answer
   x = 1,067.69