Finding the Fourth Proportional to 10,357.91, 14,293.94 and 5,642.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,357.91 : 14,293.94 = 5,642.22 : x
2. Step 2: Convert to fraction form
   10,357.91/14,293.94 = 5,642.22/x
3. Step 3: Cross multiply
   10,357.91x = 14,293.94 × 5,642.22
4. Step 4: Simplify right side
   10,357.91x = 80,649,525.94
5. Step 5: Solve for x
   x = 80,649,525.94/10,357.91
6. Step 6: Final answer
   x = 7,786.28