Finding the Fourth Proportional to 3,857.34, 5,778.30 and 1,774.49

Step by Step Solution

1. Step 1: Write the proportion equation
   3,857.34 : 5,778.30 = 1,774.49 : x
2. Step 2: Convert to fraction form
   3,857.34/5,778.30 = 1,774.49/x
3. Step 3: Cross multiply
   3,857.34x = 5,778.30 × 1,774.49
4. Step 4: Simplify right side
   3,857.34x = 10,253,500.02
5. Step 5: Solve for x
   x = 10,253,500.02/3,857.34
6. Step 6: Final answer
   x = 2,658.18