Finding the Fourth Proportional to 10,357.27, 14,293 and 5,641.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,357.27 : 14,293 = 5,641.58 : x
2. Step 2: Convert to fraction form
   10,357.27/14,293 = 5,641.58/x
3. Step 3: Cross multiply
   10,357.27x = 14,293 × 5,641.58
4. Step 4: Simplify right side
   10,357.27x = 80,635,102.94
5. Step 5: Solve for x
   x = 80,635,102.94/10,357.27
6. Step 6: Final answer
   x = 7,785.36