Finding the Fourth Proportional to 10,222.92, 14,107.62 and 5,746.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222.92 : 14,107.62 = 5,746.86 : x
2. Step 2: Convert to fraction form
   10,222.92/14,107.62 = 5,746.86/x
3. Step 3: Cross multiply
   10,222.92x = 14,107.62 × 5,746.86
4. Step 4: Simplify right side
   10,222.92x = 81,074,517.07
5. Step 5: Solve for x
   x = 81,074,517.07/10,222.92
6. Step 6: Final answer
   x = 7,930.66