Finding the Fourth Proportional to 1,292.63, 1,783.82 and 768.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,292.63 : 1,783.82 = 768.69 : x
2. Step 2: Convert to fraction form
   1,292.63/1,783.82 = 768.69/x
3. Step 3: Cross multiply
   1,292.63x = 1,783.82 × 768.69
4. Step 4: Simplify right side
   1,292.63x = 1,371,206.52
5. Step 5: Solve for x
   x = 1,371,206.52/1,292.63
6. Step 6: Final answer
   x = 1,060.79