Finding the Fourth Proportional to 10,222.76, 14,107.61 and 5,746.79

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222.76 : 14,107.61 = 5,746.79 : x
2. Step 2: Convert to fraction form
   10,222.76/14,107.61 = 5,746.79/x
3. Step 3: Cross multiply
   10,222.76x = 14,107.61 × 5,746.79
4. Step 4: Simplify right side
   10,222.76x = 81,073,521.71
5. Step 5: Solve for x
   x = 81,073,521.71/10,222.76
6. Step 6: Final answer
   x = 7,930.69