Finding the Fourth Proportional to 1,292.34, 1,783.43 and 768.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,292.34 : 1,783.43 = 768.42 : x
2. Step 2: Convert to fraction form
   1,292.34/1,783.43 = 768.42/x
3. Step 3: Cross multiply
   1,292.34x = 1,783.43 × 768.42
4. Step 4: Simplify right side
   1,292.34x = 1,370,423.28
5. Step 5: Solve for x
   x = 1,370,423.28/1,292.34
6. Step 6: Final answer
   x = 1,060.42