Finding the Fourth Proportional to 10,223.09, 14,109.04 and 5,686.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,223.09 : 14,109.04 = 5,686.23 : x
2. Step 2: Convert to fraction form
   10,223.09/14,109.04 = 5,686.23/x
3. Step 3: Cross multiply
   10,223.09x = 14,109.04 × 5,686.23
4. Step 4: Simplify right side
   10,223.09x = 80,227,246.52
5. Step 5: Solve for x
   x = 80,227,246.52/10,223.09
6. Step 6: Final answer
   x = 7,847.65