Finding the Fourth Proportional to 2,465.83, 3,699.34 and 822.39

Step by Step Solution

1. Step 1: Write the proportion equation
   2,465.83 : 3,699.34 = 822.39 : x
2. Step 2: Convert to fraction form
   2,465.83/3,699.34 = 822.39/x
3. Step 3: Cross multiply
   2,465.83x = 3,699.34 × 822.39
4. Step 4: Simplify right side
   2,465.83x = 3,042,300.22
5. Step 5: Solve for x
   x = 3,042,300.22/2,465.83
6. Step 6: Final answer
   x = 1,233.78