Finding the Fourth Proportional to 10,358.04, 14,294.10 and 5,642.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,358.04 : 14,294.10 = 5,642.22 : x
2. Step 2: Convert to fraction form
   10,358.04/14,294.10 = 5,642.22/x
3. Step 3: Cross multiply
   10,358.04x = 14,294.10 × 5,642.22
4. Step 4: Simplify right side
   10,358.04x = 80,650,456.90
5. Step 5: Solve for x
   x = 80,650,456.90/10,358.04
6. Step 6: Final answer
   x = 7,786.27