Finding the Fourth Proportional to 12,641.59, 17,441.90 and 8,165.53

Step by Step Solution

1. Step 1: Write the proportion equation
   12,641.59 : 17,441.90 = 8,165.53 : x
2. Step 2: Convert to fraction form
   12,641.59/17,441.90 = 8,165.53/x
3. Step 3: Cross multiply
   12,641.59x = 17,441.90 × 8,165.53
4. Step 4: Simplify right side
   12,641.59x = 142,422,316.88
5. Step 5: Solve for x
   x = 142,422,316.88/12,641.59
6. Step 6: Final answer
   x = 11,266.17