Finding the Fourth Proportional to 9,144.41, 12,619.33 and 5,165.89

Step by Step Solution

1. Step 1: Write the proportion equation
   9,144.41 : 12,619.33 = 5,165.89 : x
2. Step 2: Convert to fraction form
   9,144.41/12,619.33 = 5,165.89/x
3. Step 3: Cross multiply
   9,144.41x = 12,619.33 × 5,165.89
4. Step 4: Simplify right side
   9,144.41x = 65,190,026.19
5. Step 5: Solve for x
   x = 65,190,026.19/9,144.41
6. Step 6: Final answer
   x = 7,128.95