Finding the Fourth Proportional to 6,863.83, 10,271.14 and 5,942.57

Step by Step Solution

1. Step 1: Write the proportion equation
   6,863.83 : 10,271.14 = 5,942.57 : x
2. Step 2: Convert to fraction form
   6,863.83/10,271.14 = 5,942.57/x
3. Step 3: Cross multiply
   6,863.83x = 10,271.14 × 5,942.57
4. Step 4: Simplify right side
   6,863.83x = 61,036,902.22
5. Step 5: Solve for x
   x = 61,036,902.22/6,863.83
6. Step 6: Final answer
   x = 8,892.55