Finding the Fourth Proportional to 8,965.34, 12,371.91 and 5,189.12

Step by Step Solution

1. Step 1: Write the proportion equation
   8,965.34 : 12,371.91 = 5,189.12 : x
2. Step 2: Convert to fraction form
   8,965.34/12,371.91 = 5,189.12/x
3. Step 3: Cross multiply
   8,965.34x = 12,371.91 × 5,189.12
4. Step 4: Simplify right side
   8,965.34x = 64,199,325.62
5. Step 5: Solve for x
   x = 64,199,325.62/8,965.34
6. Step 6: Final answer
   x = 7,160.84