Finding the Fourth Proportional to 10,222.63, 14,107.37 and 5,746.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222.63 : 14,107.37 = 5,746.12 : x
2. Step 2: Convert to fraction form
   10,222.63/14,107.37 = 5,746.12/x
3. Step 3: Cross multiply
   10,222.63x = 14,107.37 × 5,746.12
4. Step 4: Simplify right side
   10,222.63x = 81,062,640.90
5. Step 5: Solve for x
   x = 81,062,640.90/10,222.63
6. Step 6: Final answer
   x = 7,929.72