Finding the Fourth Proportional to 9,667.69, 13,342.26 and 5,634.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,667.69 : 13,342.26 = 5,634.31 : x
2. Step 2: Convert to fraction form
   9,667.69/13,342.26 = 5,634.31/x
3. Step 3: Cross multiply
   9,667.69x = 13,342.26 × 5,634.31
4. Step 4: Simplify right side
   9,667.69x = 75,174,391.13
5. Step 5: Solve for x
   x = 75,174,391.13/9,667.69
6. Step 6: Final answer
   x = 7,775.84