Finding the Fourth Proportional to 2,443.29, 3,665.05 and 777.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,443.29 : 3,665.05 = 777.58 : x
2. Step 2: Convert to fraction form
   2,443.29/3,665.05 = 777.58/x
3. Step 3: Cross multiply
   2,443.29x = 3,665.05 × 777.58
4. Step 4: Simplify right side
   2,443.29x = 2,849,867.64
5. Step 5: Solve for x
   x = 2,849,867.64/2,443.29
6. Step 6: Final answer
   x = 1,166.41