Finding the Fourth Proportional to 2,523.72, 3,785.62 and 768.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,523.72 : 3,785.62 = 768.76 : x
2. Step 2: Convert to fraction form
   2,523.72/3,785.62 = 768.76/x
3. Step 3: Cross multiply
   2,523.72x = 3,785.62 × 768.76
4. Step 4: Simplify right side
   2,523.72x = 2,910,233.23
5. Step 5: Solve for x
   x = 2,910,233.23/2,523.72
6. Step 6: Final answer
   x = 1,153.15