Finding the Fourth Proportional to 1,292.82, 1,784.25 and 768.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,292.82 : 1,784.25 = 768.84 : x
2. Step 2: Convert to fraction form
   1,292.82/1,784.25 = 768.84/x
3. Step 3: Cross multiply
   1,292.82x = 1,784.25 × 768.84
4. Step 4: Simplify right side
   1,292.82x = 1,371,802.77
5. Step 5: Solve for x
   x = 1,371,802.77/1,292.82
6. Step 6: Final answer
   x = 1,061.09