Finding the Fourth Proportional to 9,355.83, 12,912.90 and 5,577.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,355.83 : 12,912.90 = 5,577.12 : x
2. Step 2: Convert to fraction form
   9,355.83/12,912.90 = 5,577.12/x
3. Step 3: Cross multiply
   9,355.83x = 12,912.90 × 5,577.12
4. Step 4: Simplify right side
   9,355.83x = 72,016,792.85
5. Step 5: Solve for x
   x = 72,016,792.85/9,355.83
6. Step 6: Final answer
   x = 7,697.53