Finding the Fourth Proportional to 1,293.16, 1,783.92 and 768.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,293.16 : 1,783.92 = 768.82 : x
2. Step 2: Convert to fraction form
   1,293.16/1,783.92 = 768.82/x
3. Step 3: Cross multiply
   1,293.16x = 1,783.92 × 768.82
4. Step 4: Simplify right side
   1,293.16x = 1,371,513.37
5. Step 5: Solve for x
   x = 1,371,513.37/1,293.16
6. Step 6: Final answer
   x = 1,060.59