Finding the Fourth Proportional to 10,357.83, 14,293.73 and 5,642.11

Step by Step Solution

1. Step 1: Write the proportion equation
   10,357.83 : 14,293.73 = 5,642.11 : x
2. Step 2: Convert to fraction form
   10,357.83/14,293.73 = 5,642.11/x
3. Step 3: Cross multiply
   10,357.83x = 14,293.73 × 5,642.11
4. Step 4: Simplify right side
   10,357.83x = 80,646,828.94
5. Step 5: Solve for x
   x = 80,646,828.94/10,357.83
6. Step 6: Final answer
   x = 7,786.07