Finding the Fourth Proportional to 10,699.60, 14,769.50 and 9,578.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,699.60 : 14,769.50 = 9,578.53 : x
2. Step 2: Convert to fraction form
   10,699.60/14,769.50 = 9,578.53/x
3. Step 3: Cross multiply
   10,699.60x = 14,769.50 × 9,578.53
4. Step 4: Simplify right side
   10,699.60x = 141,469,977.09
5. Step 5: Solve for x
   x = 141,469,977.09/10,699.60
6. Step 6: Final answer
   x = 13,221.99