Finding the Fourth Proportional to 6,911.34, 9,537.68 and 3,767.46

Step by Step Solution

1. Step 1: Write the proportion equation
   6,911.34 : 9,537.68 = 3,767.46 : x
2. Step 2: Convert to fraction form
   6,911.34/9,537.68 = 3,767.46/x
3. Step 3: Cross multiply
   6,911.34x = 9,537.68 × 3,767.46
4. Step 4: Simplify right side
   6,911.34x = 35,932,827.89
5. Step 5: Solve for x
   x = 35,932,827.89/6,911.34
6. Step 6: Final answer
   x = 5,199.11