Finding the Fourth Proportional to 3,851.74, 5,774.37 and 3,119.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,851.74 : 5,774.37 = 3,119.50 : x
2. Step 2: Convert to fraction form
   3,851.74/5,774.37 = 3,119.50/x
3. Step 3: Cross multiply
   3,851.74x = 5,774.37 × 3,119.50
4. Step 4: Simplify right side
   3,851.74x = 18,013,147.22
5. Step 5: Solve for x
   x = 18,013,147.22/3,851.74
6. Step 6: Final answer
   x = 4,676.63