Finding the Fourth Proportional to 10,357.09, 14,292.83 and 5,641.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,357.09 : 14,292.83 = 5,641.33 : x
2. Step 2: Convert to fraction form
   10,357.09/14,292.83 = 5,641.33/x
3. Step 3: Cross multiply
   10,357.09x = 14,292.83 × 5,641.33
4. Step 4: Simplify right side
   10,357.09x = 80,630,542.46
5. Step 5: Solve for x
   x = 80,630,542.46/10,357.09
6. Step 6: Final answer
   x = 7,785.06