Finding the Fourth Proportional to 10,357.74, 14,293.77 and 5,642.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,357.74 : 14,293.77 = 5,642.02 : x
2. Step 2: Convert to fraction form
   10,357.74/14,293.77 = 5,642.02/x
3. Step 3: Cross multiply
   10,357.74x = 14,293.77 × 5,642.02
4. Step 4: Simplify right side
   10,357.74x = 80,645,732.93
5. Step 5: Solve for x
   x = 80,645,732.93/10,357.74
6. Step 6: Final answer
   x = 7,786.04