Finding the Fourth Proportional to 9,645.90, 13,315.68 and 5,667.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,645.90 : 13,315.68 = 5,667.27 : x
2. Step 2: Convert to fraction form
   9,645.90/13,315.68 = 5,667.27/x
3. Step 3: Cross multiply
   9,645.90x = 13,315.68 × 5,667.27
4. Step 4: Simplify right side
   9,645.90x = 75,463,553.79
5. Step 5: Solve for x
   x = 75,463,553.79/9,645.90
6. Step 6: Final answer
   x = 7,823.38