Finding the Fourth Proportional to 10,357.38, 14,293.62 and 5,641.92

Step by Step Solution

1. Step 1: Write the proportion equation
   10,357.38 : 14,293.62 = 5,641.92 : x
2. Step 2: Convert to fraction form
   10,357.38/14,293.62 = 5,641.92/x
3. Step 3: Cross multiply
   10,357.38x = 14,293.62 × 5,641.92
4. Step 4: Simplify right side
   10,357.38x = 80,643,460.55
5. Step 5: Solve for x
   x = 80,643,460.55/10,357.38
6. Step 6: Final answer
   x = 7,786.09