Finding the Fourth Proportional to 10,222.54, 14,106.60 and 5,746.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222.54 : 14,106.60 = 5,746.48 : x
2. Step 2: Convert to fraction form
   10,222.54/14,106.60 = 5,746.48/x
3. Step 3: Cross multiply
   10,222.54x = 14,106.60 × 5,746.48
4. Step 4: Simplify right side
   10,222.54x = 81,063,294.77
5. Step 5: Solve for x
   x = 81,063,294.77/10,222.54
6. Step 6: Final answer
   x = 7,929.86