Finding the Fourth Proportional to 6,638.15, 9,160.59 and 3,767.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,638.15 : 9,160.59 = 3,767.42 : x
2. Step 2: Convert to fraction form
   6,638.15/9,160.59 = 3,767.42/x
3. Step 3: Cross multiply
   6,638.15x = 9,160.59 × 3,767.42
4. Step 4: Simplify right side
   6,638.15x = 34,511,839.89
5. Step 5: Solve for x
   x = 34,511,839.89/6,638.15
6. Step 6: Final answer
   x = 5,199.01