Finding the Fourth Proportional to 9,838.54, 13,577.01 and 5,362.33

Step by Step Solution

1. Step 1: Write the proportion equation
   9,838.54 : 13,577.01 = 5,362.33 : x
2. Step 2: Convert to fraction form
   9,838.54/13,577.01 = 5,362.33/x
3. Step 3: Cross multiply
   9,838.54x = 13,577.01 × 5,362.33
4. Step 4: Simplify right side
   9,838.54x = 72,804,340.15
5. Step 5: Solve for x
   x = 72,804,340.15/9,838.54
6. Step 6: Final answer
   x = 7,399.92