Finding the Fourth Proportional to 9,825.81, 13,559.56 and 5,349.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,825.81 : 13,559.56 = 5,349.60 : x
2. Step 2: Convert to fraction form
   9,825.81/13,559.56 = 5,349.60/x
3. Step 3: Cross multiply
   9,825.81x = 13,559.56 × 5,349.60
4. Step 4: Simplify right side
   9,825.81x = 72,538,222.18
5. Step 5: Solve for x
   x = 72,538,222.18/9,825.81
6. Step 6: Final answer
   x = 7,382.42