Finding the Fourth Proportional to 10,357.47, 14,293.46 and 5,641.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,357.47 : 14,293.46 = 5,641.75 : x
2. Step 2: Convert to fraction form
   10,357.47/14,293.46 = 5,641.75/x
3. Step 3: Cross multiply
   10,357.47x = 14,293.46 × 5,641.75
4. Step 4: Simplify right side
   10,357.47x = 80,640,127.96
5. Step 5: Solve for x
   x = 80,640,127.96/10,357.47
6. Step 6: Final answer
   x = 7,785.70