Finding the Fourth Proportional to 2,523.84, 3,785.89 and 768.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,523.84 : 3,785.89 = 768.71 : x
2. Step 2: Convert to fraction form
   2,523.84/3,785.89 = 768.71/x
3. Step 3: Cross multiply
   2,523.84x = 3,785.89 × 768.71
4. Step 4: Simplify right side
   2,523.84x = 2,910,243.96
5. Step 5: Solve for x
   x = 2,910,243.96/2,523.84
6. Step 6: Final answer
   x = 1,153.10