Finding the Fourth Proportional to 9,838.85, 13,577.16 and 5,362.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,838.85 : 13,577.16 = 5,362.46 : x
2. Step 2: Convert to fraction form
   9,838.85/13,577.16 = 5,362.46/x
3. Step 3: Cross multiply
   9,838.85x = 13,577.16 × 5,362.46
4. Step 4: Simplify right side
   9,838.85x = 72,806,909.53
5. Step 5: Solve for x
   x = 72,806,909.53/9,838.85
6. Step 6: Final answer
   x = 7,399.94