Finding the Fourth Proportional to 9,667.61, 13,342.22 and 5,418.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,667.61 : 13,342.22 = 5,418.64 : x
2. Step 2: Convert to fraction form
   9,667.61/13,342.22 = 5,418.64/x
3. Step 3: Cross multiply
   9,667.61x = 13,342.22 × 5,418.64
4. Step 4: Simplify right side
   9,667.61x = 72,296,686.98
5. Step 5: Solve for x
   x = 72,296,686.98/9,667.61
6. Step 6: Final answer
   x = 7,478.24