Finding the Fourth Proportional to 7,635.81, 11,456.15 and 3,738.09

Step by Step Solution

1. Step 1: Write the proportion equation
   7,635.81 : 11,456.15 = 3,738.09 : x
2. Step 2: Convert to fraction form
   7,635.81/11,456.15 = 3,738.09/x
3. Step 3: Cross multiply
   7,635.81x = 11,456.15 × 3,738.09
4. Step 4: Simplify right side
   7,635.81x = 42,824,101.06
5. Step 5: Solve for x
   x = 42,824,101.06/7,635.81
6. Step 6: Final answer
   x = 5,608.32