Finding the Fourth Proportional to 13,157.89, 19,741.49 and 8,097.82

Step by Step Solution

1. Step 1: Write the proportion equation
   13,157.89 : 19,741.49 = 8,097.82 : x
2. Step 2: Convert to fraction form
   13,157.89/19,741.49 = 8,097.82/x
3. Step 3: Cross multiply
   13,157.89x = 19,741.49 × 8,097.82
4. Step 4: Simplify right side
   13,157.89x = 159,863,032.55
5. Step 5: Solve for x
   x = 159,863,032.55/13,157.89
6. Step 6: Final answer
   x = 12,149.59