Finding the Fourth Proportional to 9,838.67, 13,577.01 and 5,362.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,838.67 : 13,577.01 = 5,362.32 : x
2. Step 2: Convert to fraction form
   9,838.67/13,577.01 = 5,362.32/x
3. Step 3: Cross multiply
   9,838.67x = 13,577.01 × 5,362.32
4. Step 4: Simplify right side
   9,838.67x = 72,804,272.26
5. Step 5: Solve for x
   x = 72,804,272.26/9,838.67
6. Step 6: Final answer
   x = 7,399.81