Finding the Fourth Proportional to 10,222.04, 14,106.69 and 5,746.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222.04 : 14,106.69 = 5,746.20 : x
2. Step 2: Convert to fraction form
   10,222.04/14,106.69 = 5,746.20/x
3. Step 3: Cross multiply
   10,222.04x = 14,106.69 × 5,746.20
4. Step 4: Simplify right side
   10,222.04x = 81,059,862.08
5. Step 5: Solve for x
   x = 81,059,862.08/10,222.04
6. Step 6: Final answer
   x = 7,929.91