Finding the Fourth Proportional to 10,357, 14,292.52 and 5,641.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,357 : 14,292.52 = 5,641.28 : x
2. Step 2: Convert to fraction form
   10,357/14,292.52 = 5,641.28/x
3. Step 3: Cross multiply
   10,357x = 14,292.52 × 5,641.28
4. Step 4: Simplify right side
   10,357x = 80,628,107.23
5. Step 5: Solve for x
   x = 80,628,107.23/10,357
6. Step 6: Final answer
   x = 7,784.89