Finding the Fourth Proportional to 9,838.37, 13,576.55 and 5,362.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,838.37 : 13,576.55 = 5,362.02 : x
2. Step 2: Convert to fraction form
   9,838.37/13,576.55 = 5,362.02/x
3. Step 3: Cross multiply
   9,838.37x = 13,576.55 × 5,362.02
4. Step 4: Simplify right side
   9,838.37x = 72,797,779.98
5. Step 5: Solve for x
   x = 72,797,779.98/9,838.37
6. Step 6: Final answer
   x = 7,399.38