Finding the Fourth Proportional to 10,357.88, 14,294.31 and 5,642.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,357.88 : 14,294.31 = 5,642.42 : x
2. Step 2: Convert to fraction form
   10,357.88/14,294.31 = 5,642.42/x
3. Step 3: Cross multiply
   10,357.88x = 14,294.31 × 5,642.42
4. Step 4: Simplify right side
   10,357.88x = 80,654,500.63
5. Step 5: Solve for x
   x = 80,654,500.63/10,357.88
6. Step 6: Final answer
   x = 7,786.78