Finding the Fourth Proportional to 6,911.56, 9,537.60 and 3,767.72

Step by Step Solution

1. Step 1: Write the proportion equation
   6,911.56 : 9,537.60 = 3,767.72 : x
2. Step 2: Convert to fraction form
   6,911.56/9,537.60 = 3,767.72/x
3. Step 3: Cross multiply
   6,911.56x = 9,537.60 × 3,767.72
4. Step 4: Simplify right side
   6,911.56x = 35,935,006.27
5. Step 5: Solve for x
   x = 35,935,006.27/6,911.56
6. Step 6: Final answer
   x = 5,199.26