Finding the Fourth Proportional to 10,222.27, 14,106.89 and 5,746.01

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222.27 : 14,106.89 = 5,746.01 : x
2. Step 2: Convert to fraction form
   10,222.27/14,106.89 = 5,746.01/x
3. Step 3: Cross multiply
   10,222.27x = 14,106.89 × 5,746.01
4. Step 4: Simplify right side
   10,222.27x = 81,058,274.84
5. Step 5: Solve for x
   x = 81,058,274.84/10,222.27
6. Step 6: Final answer
   x = 7,929.58