Finding the Fourth Proportional to 6,677.37, 10,002.37 and 3,749.53

Step by Step Solution

1. Step 1: Write the proportion equation
   6,677.37 : 10,002.37 = 3,749.53 : x
2. Step 2: Convert to fraction form
   6,677.37/10,002.37 = 3,749.53/x
3. Step 3: Cross multiply
   6,677.37x = 10,002.37 × 3,749.53
4. Step 4: Simplify right side
   6,677.37x = 37,504,186.39
5. Step 5: Solve for x
   x = 37,504,186.39/6,677.37
6. Step 6: Final answer
   x = 5,616.61