Finding the Fourth Proportional to 10,221.69, 14,105.23 and 5,746.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,221.69 : 14,105.23 = 5,746.12 : x
2. Step 2: Convert to fraction form
   10,221.69/14,105.23 = 5,746.12/x
3. Step 3: Cross multiply
   10,221.69x = 14,105.23 × 5,746.12
4. Step 4: Simplify right side
   10,221.69x = 81,050,244.95
5. Step 5: Solve for x
   x = 81,050,244.95/10,221.69
6. Step 6: Final answer
   x = 7,929.24