Finding the Fourth Proportional to 9,838.92, 13,577.76 and 5,362.68

Step by Step Solution

1. Step 1: Write the proportion equation
   9,838.92 : 13,577.76 = 5,362.68 : x
2. Step 2: Convert to fraction form
   9,838.92/13,577.76 = 5,362.68/x
3. Step 3: Cross multiply
   9,838.92x = 13,577.76 × 5,362.68
4. Step 4: Simplify right side
   9,838.92x = 72,813,182.00
5. Step 5: Solve for x
   x = 72,813,182.00/9,838.92
6. Step 6: Final answer
   x = 7,400.53