Finding the Fourth Proportional to 10,358.72, 14,294.64 and 5,642.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,358.72 : 14,294.64 = 5,642.72 : x
2. Step 2: Convert to fraction form
   10,358.72/14,294.64 = 5,642.72/x
3. Step 3: Cross multiply
   10,358.72x = 14,294.64 × 5,642.72
4. Step 4: Simplify right side
   10,358.72x = 80,660,651.02
5. Step 5: Solve for x
   x = 80,660,651.02/10,358.72
6. Step 6: Final answer
   x = 7,786.74