Finding the Fourth Proportional to 9,822.97, 13,555.83 and 5,346.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,822.97 : 13,555.83 = 5,346.82 : x
2. Step 2: Convert to fraction form
   9,822.97/13,555.83 = 5,346.82/x
3. Step 3: Cross multiply
   9,822.97x = 13,555.83 × 5,346.82
4. Step 4: Simplify right side
   9,822.97x = 72,480,582.96
5. Step 5: Solve for x
   x = 72,480,582.96/9,822.97
6. Step 6: Final answer
   x = 7,378.68