Finding the Fourth Proportional to 9,356.69, 12,906.57 and 5,577.33

Step by Step Solution

1. Step 1: Write the proportion equation
   9,356.69 : 12,906.57 = 5,577.33 : x
2. Step 2: Convert to fraction form
   9,356.69/12,906.57 = 5,577.33/x
3. Step 3: Cross multiply
   9,356.69x = 12,906.57 × 5,577.33
4. Step 4: Simplify right side
   9,356.69x = 71,984,200.06
5. Step 5: Solve for x
   x = 71,984,200.06/9,356.69
6. Step 6: Final answer
   x = 7,693.34