Finding the Fourth Proportional to 10,699.83, 14,769.87 and 9,578.79

Step by Step Solution

1. Step 1: Write the proportion equation
   10,699.83 : 14,769.87 = 9,578.79 : x
2. Step 2: Convert to fraction form
   10,699.83/14,769.87 = 9,578.79/x
3. Step 3: Cross multiply
   10,699.83x = 14,769.87 × 9,578.79
4. Step 4: Simplify right side
   10,699.83x = 141,477,483.06
5. Step 5: Solve for x
   x = 141,477,483.06/10,699.83
6. Step 6: Final answer
   x = 13,222.40