Finding the Fourth Proportional to 9,664.39, 13,339.82 and 5,632.41

Step by Step Solution

1. Step 1: Write the proportion equation
   9,664.39 : 13,339.82 = 5,632.41 : x
2. Step 2: Convert to fraction form
   9,664.39/13,339.82 = 5,632.41/x
3. Step 3: Cross multiply
   9,664.39x = 13,339.82 × 5,632.41
4. Step 4: Simplify right side
   9,664.39x = 75,135,307.40
5. Step 5: Solve for x
   x = 75,135,307.40/9,664.39
6. Step 6: Final answer
   x = 7,774.45