Finding the Fourth Proportional to 10,357.50, 14,293.38 and 5,641.79

Step by Step Solution

1. Step 1: Write the proportion equation
   10,357.50 : 14,293.38 = 5,641.79 : x
2. Step 2: Convert to fraction form
   10,357.50/14,293.38 = 5,641.79/x
3. Step 3: Cross multiply
   10,357.50x = 14,293.38 × 5,641.79
4. Step 4: Simplify right side
   10,357.50x = 80,640,248.35
5. Step 5: Solve for x
   x = 80,640,248.35/10,357.50
6. Step 6: Final answer
   x = 7,785.69