Finding the Fourth Proportional to 9,645.41, 13,309.25 and 5,667.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,645.41 : 13,309.25 = 5,667.81 : x
2. Step 2: Convert to fraction form
   9,645.41/13,309.25 = 5,667.81/x
3. Step 3: Cross multiply
   9,645.41x = 13,309.25 × 5,667.81
4. Step 4: Simplify right side
   9,645.41x = 75,434,221.99
5. Step 5: Solve for x
   x = 75,434,221.99/9,645.41
6. Step 6: Final answer
   x = 7,820.74