Finding the Fourth Proportional to 2,229.48, 3,343.22 and 768.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,229.48 : 3,343.22 = 768.78 : x
2. Step 2: Convert to fraction form
   2,229.48/3,343.22 = 768.78/x
3. Step 3: Cross multiply
   2,229.48x = 3,343.22 × 768.78
4. Step 4: Simplify right side
   2,229.48x = 2,570,200.67
5. Step 5: Solve for x
   x = 2,570,200.67/2,229.48
6. Step 6: Final answer
   x = 1,152.83