Finding the Fourth Proportional to 10,559.57, 14,568.06 and 6,782.21

Step by Step Solution

1. Step 1: Write the proportion equation
   10,559.57 : 14,568.06 = 6,782.21 : x
2. Step 2: Convert to fraction form
   10,559.57/14,568.06 = 6,782.21/x
3. Step 3: Cross multiply
   10,559.57x = 14,568.06 × 6,782.21
4. Step 4: Simplify right side
   10,559.57x = 98,803,642.21
5. Step 5: Solve for x
   x = 98,803,642.21/10,559.57
6. Step 6: Final answer
   x = 9,356.79