Finding the Fourth Proportional to 9,098.82, 13,653.50 and 3,833.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,098.82 : 13,653.50 = 3,833.46 : x
2. Step 2: Convert to fraction form
   9,098.82/13,653.50 = 3,833.46/x
3. Step 3: Cross multiply
   9,098.82x = 13,653.50 × 3,833.46
4. Step 4: Simplify right side
   9,098.82x = 52,340,126.94
5. Step 5: Solve for x
   x = 52,340,126.94/9,098.82
6. Step 6: Final answer
   x = 5,752.41