Finding the Fourth Proportional to 9,838.24, 13,576.78 and 5,361.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,838.24 : 13,576.78 = 5,361.98 : x
2. Step 2: Convert to fraction form
   9,838.24/13,576.78 = 5,361.98/x
3. Step 3: Cross multiply
   9,838.24x = 13,576.78 × 5,361.98
4. Step 4: Simplify right side
   9,838.24x = 72,798,422.82
5. Step 5: Solve for x
   x = 72,798,422.82/9,838.24
6. Step 6: Final answer
   x = 7,399.54