Finding the Fourth Proportional to 8,434.10, 12,640.89 and 5,969.63

Step by Step Solution

1. Step 1: Write the proportion equation
   8,434.10 : 12,640.89 = 5,969.63 : x
2. Step 2: Convert to fraction form
   8,434.10/12,640.89 = 5,969.63/x
3. Step 3: Cross multiply
   8,434.10x = 12,640.89 × 5,969.63
4. Step 4: Simplify right side
   8,434.10x = 75,461,436.17
5. Step 5: Solve for x
   x = 75,461,436.17/8,434.10
6. Step 6: Final answer
   x = 8,947.18