Finding the Fourth Proportional to 9,164.88, 12,643.08 and 5,436.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164.88 : 12,643.08 = 5,436.24 : x
2. Step 2: Convert to fraction form
   9,164.88/12,643.08 = 5,436.24/x
3. Step 3: Cross multiply
   9,164.88x = 12,643.08 × 5,436.24
4. Step 4: Simplify right side
   9,164.88x = 68,730,817.22
5. Step 5: Solve for x
   x = 68,730,817.22/9,164.88
6. Step 6: Final answer
   x = 7,499.37