Finding the Fourth Proportional to 2,422.05, 3,633.62 and 778.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,422.05 : 3,633.62 = 778.59 : x
2. Step 2: Convert to fraction form
   2,422.05/3,633.62 = 778.59/x
3. Step 3: Cross multiply
   2,422.05x = 3,633.62 × 778.59
4. Step 4: Simplify right side
   2,422.05x = 2,829,096.30
5. Step 5: Solve for x
   x = 2,829,096.30/2,422.05
6. Step 6: Final answer
   x = 1,168.06