Finding the Fourth Proportional to 2,523.08, 3,784.50 and 768.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,523.08 : 3,784.50 = 768.02 : x
2. Step 2: Convert to fraction form
   2,523.08/3,784.50 = 768.02/x
3. Step 3: Cross multiply
   2,523.08x = 3,784.50 × 768.02
4. Step 4: Simplify right side
   2,523.08x = 2,906,571.69
5. Step 5: Solve for x
   x = 2,906,571.69/2,523.08
6. Step 6: Final answer
   x = 1,151.99