Finding the Fourth Proportional to 2,097.81, 3,145.10 and 942.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,097.81 : 3,145.10 = 942.75 : x
2. Step 2: Convert to fraction form
   2,097.81/3,145.10 = 942.75/x
3. Step 3: Cross multiply
   2,097.81x = 3,145.10 × 942.75
4. Step 4: Simplify right side
   2,097.81x = 2,965,038.31
5. Step 5: Solve for x
   x = 2,965,038.31/2,097.81
6. Step 6: Final answer
   x = 1,413.40