Finding the Fourth Proportional to 10,578.60, 14,593.56 and 7,436.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,578.60 : 14,593.56 = 7,436.64 : x
2. Step 2: Convert to fraction form
   10,578.60/14,593.56 = 7,436.64/x
3. Step 3: Cross multiply
   10,578.60x = 14,593.56 × 7,436.64
4. Step 4: Simplify right side
   10,578.60x = 108,527,052.04
5. Step 5: Solve for x
   x = 108,527,052.04/10,578.60
6. Step 6: Final answer
   x = 10,259.11