Finding the Fourth Proportional to 3,864.53, 5,796.71 and 942.83

Step by Step Solution

1. Step 1: Write the proportion equation
   3,864.53 : 5,796.71 = 942.83 : x
2. Step 2: Convert to fraction form
   3,864.53/5,796.71 = 942.83/x
3. Step 3: Cross multiply
   3,864.53x = 5,796.71 × 942.83
4. Step 4: Simplify right side
   3,864.53x = 5,465,281.93
5. Step 5: Solve for x
   x = 5,465,281.93/3,864.53
6. Step 6: Final answer
   x = 1,414.22