Finding the Fourth Proportional to 10,566.26, 14,581.31 and 5,786.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,566.26 : 14,581.31 = 5,786.16 : x
2. Step 2: Convert to fraction form
   10,566.26/14,581.31 = 5,786.16/x
3. Step 3: Cross multiply
   10,566.26x = 14,581.31 × 5,786.16
4. Step 4: Simplify right side
   10,566.26x = 84,369,792.67
5. Step 5: Solve for x
   x = 84,369,792.67/10,566.26
6. Step 6: Final answer
   x = 7,984.83