Finding the Fourth Proportional to 10,358.34, 14,294.67 and 5,642.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,358.34 : 14,294.67 = 5,642.63 : x
2. Step 2: Convert to fraction form
   10,358.34/14,294.67 = 5,642.63/x
3. Step 3: Cross multiply
   10,358.34x = 14,294.67 × 5,642.63
4. Step 4: Simplify right side
   10,358.34x = 80,659,462.31
5. Step 5: Solve for x
   x = 80,659,462.31/10,358.34
6. Step 6: Final answer
   x = 7,786.91