Finding the Fourth Proportional to 9,101.82, 13,658.01 and 3,836.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,101.82 : 13,658.01 = 3,836.46 : x
2. Step 2: Convert to fraction form
   9,101.82/13,658.01 = 3,836.46/x
3. Step 3: Cross multiply
   9,101.82x = 13,658.01 × 3,836.46
4. Step 4: Simplify right side
   9,101.82x = 52,398,409.04
5. Step 5: Solve for x
   x = 52,398,409.04/9,101.82
6. Step 6: Final answer
   x = 5,756.92