Finding the Fourth Proportional to 2,523.76, 3,784.86 and 768.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,523.76 : 3,784.86 = 768.22 : x
2. Step 2: Convert to fraction form
   2,523.76/3,784.86 = 768.22/x
3. Step 3: Cross multiply
   2,523.76x = 3,784.86 × 768.22
4. Step 4: Simplify right side
   2,523.76x = 2,907,605.15
5. Step 5: Solve for x
   x = 2,907,605.15/2,523.76
6. Step 6: Final answer
   x = 1,152.09