Finding the Fourth Proportional to 1,011.96, 1,519.56 and 765.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,011.96 : 1,519.56 = 765.18 : x
2. Step 2: Convert to fraction form
   1,011.96/1,519.56 = 765.18/x
3. Step 3: Cross multiply
   1,011.96x = 1,519.56 × 765.18
4. Step 4: Simplify right side
   1,011.96x = 1,162,736.92
5. Step 5: Solve for x
   x = 1,162,736.92/1,011.96
6. Step 6: Final answer
   x = 1,148.99