Finding the Fourth Proportional to 7,822.83, 10,795.82 and 4,286.10

Step by Step Solution

1. Step 1: Write the proportion equation
   7,822.83 : 10,795.82 = 4,286.10 : x
2. Step 2: Convert to fraction form
   7,822.83/10,795.82 = 4,286.10/x
3. Step 3: Cross multiply
   7,822.83x = 10,795.82 × 4,286.10
4. Step 4: Simplify right side
   7,822.83x = 46,271,942.67
5. Step 5: Solve for x
   x = 46,271,942.67/7,822.83
6. Step 6: Final answer
   x = 5,914.99