Finding the Fourth Proportional to 2,523.53, 3,785.49 and 768.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,523.53 : 3,785.49 = 768.69 : x
2. Step 2: Convert to fraction form
   2,523.53/3,785.49 = 768.69/x
3. Step 3: Cross multiply
   2,523.53x = 3,785.49 × 768.69
4. Step 4: Simplify right side
   2,523.53x = 2,909,868.31
5. Step 5: Solve for x
   x = 2,909,868.31/2,523.53
6. Step 6: Final answer
   x = 1,153.09