Finding the Fourth Proportional to 10,357.76, 14,293.58 and 5,641.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,357.76 : 14,293.58 = 5,641.94 : x
2. Step 2: Convert to fraction form
   10,357.76/14,293.58 = 5,641.94/x
3. Step 3: Cross multiply
   10,357.76x = 14,293.58 × 5,641.94
4. Step 4: Simplify right side
   10,357.76x = 80,643,520.75
5. Step 5: Solve for x
   x = 80,643,520.75/10,357.76
6. Step 6: Final answer
   x = 7,785.81