Finding the Fourth Proportional to 2,523.78, 3,784.86 and 768.11

Step by Step Solution

1. Step 1: Write the proportion equation
   2,523.78 : 3,784.86 = 768.11 : x
2. Step 2: Convert to fraction form
   2,523.78/3,784.86 = 768.11/x
3. Step 3: Cross multiply
   2,523.78x = 3,784.86 × 768.11
4. Step 4: Simplify right side
   2,523.78x = 2,907,169.89
5. Step 5: Solve for x
   x = 2,907,169.89/2,523.78
6. Step 6: Final answer
   x = 1,151.91