Finding the Fourth Proportional to 10,222.58, 14,107.20 and 5,746.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222.58 : 14,107.20 = 5,746.52 : x
2. Step 2: Convert to fraction form
   10,222.58/14,107.20 = 5,746.52/x
3. Step 3: Cross multiply
   10,222.58x = 14,107.20 × 5,746.52
4. Step 4: Simplify right side
   10,222.58x = 81,067,306.94
5. Step 5: Solve for x
   x = 81,067,306.94/10,222.58
6. Step 6: Final answer
   x = 7,930.22