Finding the Fourth Proportional to 10,559.69, 14,568.23 and 6,782.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,559.69 : 14,568.23 = 6,782.33 : x
2. Step 2: Convert to fraction form
   10,559.69/14,568.23 = 6,782.33/x
3. Step 3: Cross multiply
   10,559.69x = 14,568.23 × 6,782.33
4. Step 4: Simplify right side
   10,559.69x = 98,806,596.75
5. Step 5: Solve for x
   x = 98,806,596.75/10,559.69
6. Step 6: Final answer
   x = 9,356.96