Finding the Fourth Proportional to 1,292.58, 1,783.71 and 768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,292.58 : 1,783.71 = 768.50 : x
2. Step 2: Convert to fraction form
   1,292.58/1,783.71 = 768.50/x
3. Step 3: Cross multiply
   1,292.58x = 1,783.71 × 768.50
4. Step 4: Simplify right side
   1,292.58x = 1,370,781.14
5. Step 5: Solve for x
   x = 1,370,781.14/1,292.58
6. Step 6: Final answer
   x = 1,060.50