Finding the Fourth Proportional to 3,883.50, 5,825.16 and 961.83

Step by Step Solution

1. Step 1: Write the proportion equation
   3,883.50 : 5,825.16 = 961.83 : x
2. Step 2: Convert to fraction form
   3,883.50/5,825.16 = 961.83/x
3. Step 3: Cross multiply
   3,883.50x = 5,825.16 × 961.83
4. Step 4: Simplify right side
   3,883.50x = 5,602,813.64
5. Step 5: Solve for x
   x = 5,602,813.64/3,883.50
6. Step 6: Final answer
   x = 1,442.72