Finding the Fourth Proportional to 10,357.32, 14,293.11 and 5,641.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,357.32 : 14,293.11 = 5,641.60 : x
2. Step 2: Convert to fraction form
   10,357.32/14,293.11 = 5,641.60/x
3. Step 3: Cross multiply
   10,357.32x = 14,293.11 × 5,641.60
4. Step 4: Simplify right side
   10,357.32x = 80,635,989.86
5. Step 5: Solve for x
   x = 80,635,989.86/10,357.32
6. Step 6: Final answer
   x = 7,785.41