Finding the Fourth Proportional to 3,863.69, 5,795.46 and 942.02

Step by Step Solution

1. Step 1: Write the proportion equation
   3,863.69 : 5,795.46 = 942.02 : x
2. Step 2: Convert to fraction form
   3,863.69/5,795.46 = 942.02/x
3. Step 3: Cross multiply
   3,863.69x = 5,795.46 × 942.02
4. Step 4: Simplify right side
   3,863.69x = 5,459,439.23
5. Step 5: Solve for x
   x = 5,459,439.23/3,863.69
6. Step 6: Final answer
   x = 1,413.01