Finding the Fourth Proportional to 2,466.09, 3,699.32 and 823.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,466.09 : 3,699.32 = 823.77 : x
2. Step 2: Convert to fraction form
   2,466.09/3,699.32 = 823.77/x
3. Step 3: Cross multiply
   2,466.09x = 3,699.32 × 823.77
4. Step 4: Simplify right side
   2,466.09x = 3,047,384.72
5. Step 5: Solve for x
   x = 3,047,384.72/2,466.09
6. Step 6: Final answer
   x = 1,235.72