Finding the Fourth Proportional to 9,839.12, 13,577.60 and 5,362.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,839.12 : 13,577.60 = 5,362.78 : x
2. Step 2: Convert to fraction form
   9,839.12/13,577.60 = 5,362.78/x
3. Step 3: Cross multiply
   9,839.12x = 13,577.60 × 5,362.78
4. Step 4: Simplify right side
   9,839.12x = 72,813,654.91
5. Step 5: Solve for x
   x = 72,813,654.91/9,839.12
6. Step 6: Final answer
   x = 7,400.42