Finding the Fourth Proportional to 6,677.35, 10,007.82 and 3,749.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,677.35 : 10,007.82 = 3,749.50 : x
2. Step 2: Convert to fraction form
   6,677.35/10,007.82 = 3,749.50/x
3. Step 3: Cross multiply
   6,677.35x = 10,007.82 × 3,749.50
4. Step 4: Simplify right side
   6,677.35x = 37,524,321.09
5. Step 5: Solve for x
   x = 37,524,321.09/6,677.35
6. Step 6: Final answer
   x = 5,619.64