Finding the Fourth Proportional to 3,778, 5,664.78 and 1,144.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,778 : 5,664.78 = 1,144.72 : x
2. Step 2: Convert to fraction form
   3,778/5,664.78 = 1,144.72/x
3. Step 3: Cross multiply
   3,778x = 5,664.78 × 1,144.72
4. Step 4: Simplify right side
   3,778x = 6,484,586.96
5. Step 5: Solve for x
   x = 6,484,586.96/3,778
6. Step 6: Final answer
   x = 1,716.41