Finding the Fourth Proportional to 10,835.75, 16,258.34 and 3,820.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,835.75 : 16,258.34 = 3,820.84 : x
2. Step 2: Convert to fraction form
   10,835.75/16,258.34 = 3,820.84/x
3. Step 3: Cross multiply
   10,835.75x = 16,258.34 × 3,820.84
4. Step 4: Simplify right side
   10,835.75x = 62,120,496.70
5. Step 5: Solve for x
   x = 62,120,496.70/10,835.75
6. Step 6: Final answer
   x = 5,732.92