Finding the Fourth Proportional to 2,820.66, 4,230.83 and 768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,820.66 : 4,230.83 = 768.50 : x
2. Step 2: Convert to fraction form
   2,820.66/4,230.83 = 768.50/x
3. Step 3: Cross multiply
   2,820.66x = 4,230.83 × 768.50
4. Step 4: Simplify right side
   2,820.66x = 3,251,392.86
5. Step 5: Solve for x
   x = 3,251,392.86/2,820.66
6. Step 6: Final answer
   x = 1,152.71