Finding the Fourth Proportional to 10,357.67, 14,293.74 and 5,641.95

Step by Step Solution

1. Step 1: Write the proportion equation
   10,357.67 : 14,293.74 = 5,641.95 : x
2. Step 2: Convert to fraction form
   10,357.67/14,293.74 = 5,641.95/x
3. Step 3: Cross multiply
   10,357.67x = 14,293.74 × 5,641.95
4. Step 4: Simplify right side
   10,357.67x = 80,644,566.39
5. Step 5: Solve for x
   x = 80,644,566.39/10,357.67
6. Step 6: Final answer
   x = 7,785.98