Finding the Fourth Proportional to 9,667.68, 13,341.21 and 5,635.26

Step by Step Solution

1. Step 1: Write the proportion equation
   9,667.68 : 13,341.21 = 5,635.26 : x
2. Step 2: Convert to fraction form
   9,667.68/13,341.21 = 5,635.26/x
3. Step 3: Cross multiply
   9,667.68x = 13,341.21 × 5,635.26
4. Step 4: Simplify right side
   9,667.68x = 75,181,187.06
5. Step 5: Solve for x
   x = 75,181,187.06/9,667.68
6. Step 6: Final answer
   x = 7,776.55