Finding the Fourth Proportional to 10,357.08, 14,292.78 and 5,641.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,357.08 : 14,292.78 = 5,641.37 : x
2. Step 2: Convert to fraction form
   10,357.08/14,292.78 = 5,641.37/x
3. Step 3: Cross multiply
   10,357.08x = 14,292.78 × 5,641.37
4. Step 4: Simplify right side
   10,357.08x = 80,630,786.91
5. Step 5: Solve for x
   x = 80,630,786.91/10,357.08
6. Step 6: Final answer
   x = 7,785.09