Finding the Fourth Proportional to 6,910.89, 9,537.01 and 3,767.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,910.89 : 9,537.01 = 3,767.10 : x
2. Step 2: Convert to fraction form
   6,910.89/9,537.01 = 3,767.10/x
3. Step 3: Cross multiply
   6,910.89x = 9,537.01 × 3,767.10
4. Step 4: Simplify right side
   6,910.89x = 35,926,870.37
5. Step 5: Solve for x
   x = 35,926,870.37/6,910.89
6. Step 6: Final answer
   x = 5,198.59