Finding the Fourth Proportional to 3,697.16, 5,103.78 and 3,191

Step by Step Solution

1. Step 1: Write the proportion equation
   3,697.16 : 5,103.78 = 3,191 : x
2. Step 2: Convert to fraction form
   3,697.16/5,103.78 = 3,191/x
3. Step 3: Cross multiply
   3,697.16x = 5,103.78 × 3,191
4. Step 4: Simplify right side
   3,697.16x = 16,286,161.98
5. Step 5: Solve for x
   x = 16,286,161.98/3,697.16
6. Step 6: Final answer
   x = 4,405.05