Finding the Fourth Proportional to 11,643, 16,068.46 and 7,169.37

Step by Step Solution

1. Step 1: Write the proportion equation
   11,643 : 16,068.46 = 7,169.37 : x
2. Step 2: Convert to fraction form
   11,643/16,068.46 = 7,169.37/x
3. Step 3: Cross multiply
   11,643x = 16,068.46 × 7,169.37
4. Step 4: Simplify right side
   11,643x = 115,200,735.07
5. Step 5: Solve for x
   x = 115,200,735.07/11,643
6. Step 6: Final answer
   x = 9,894.42