Finding the Fourth Proportional to 2,422.89, 3,634.38 and 779.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,422.89 : 3,634.38 = 779.58 : x
2. Step 2: Convert to fraction form
   2,422.89/3,634.38 = 779.58/x
3. Step 3: Cross multiply
   2,422.89x = 3,634.38 × 779.58
4. Step 4: Simplify right side
   2,422.89x = 2,833,289.96
5. Step 5: Solve for x
   x = 2,833,289.96/2,422.89
6. Step 6: Final answer
   x = 1,169.38