Finding the Fourth Proportional to 1,011.69, 1,513.89 and 768.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,011.69 : 1,513.89 = 768.69 : x
2. Step 2: Convert to fraction form
   1,011.69/1,513.89 = 768.69/x
3. Step 3: Cross multiply
   1,011.69x = 1,513.89 × 768.69
4. Step 4: Simplify right side
   1,011.69x = 1,163,712.10
5. Step 5: Solve for x
   x = 1,163,712.10/1,011.69
6. Step 6: Final answer
   x = 1,150.27