Finding the Fourth Proportional to 11,738.10, 17,608.68 and 3,837.86

Step by Step Solution

1. Step 1: Write the proportion equation
   11,738.10 : 17,608.68 = 3,837.86 : x
2. Step 2: Convert to fraction form
   11,738.10/17,608.68 = 3,837.86/x
3. Step 3: Cross multiply
   11,738.10x = 17,608.68 × 3,837.86
4. Step 4: Simplify right side
   11,738.10x = 67,579,560.58
5. Step 5: Solve for x
   x = 67,579,560.58/11,738.10
6. Step 6: Final answer
   x = 5,757.28