Finding the Fourth Proportional to 10,222.47, 14,106.69 and 5,746.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222.47 : 14,106.69 = 5,746.41 : x
2. Step 2: Convert to fraction form
   10,222.47/14,106.69 = 5,746.41/x
3. Step 3: Cross multiply
   10,222.47x = 14,106.69 × 5,746.41
4. Step 4: Simplify right side
   10,222.47x = 81,062,824.48
5. Step 5: Solve for x
   x = 81,062,824.48/10,222.47
6. Step 6: Final answer
   x = 7,929.87