Finding the Fourth Proportional to 10,357.82, 14,293.77 and 5,642.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,357.82 : 14,293.77 = 5,642.09 : x
2. Step 2: Convert to fraction form
   10,357.82/14,293.77 = 5,642.09/x
3. Step 3: Cross multiply
   10,357.82x = 14,293.77 × 5,642.09
4. Step 4: Simplify right side
   10,357.82x = 80,646,736.78
5. Step 5: Solve for x
   x = 80,646,736.78/10,357.82
6. Step 6: Final answer
   x = 7,786.07