Finding the Fourth Proportional to 2,422.86, 3,633.84 and 779.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,422.86 : 3,633.84 = 779.42 : x
2. Step 2: Convert to fraction form
   2,422.86/3,633.84 = 779.42/x
3. Step 3: Cross multiply
   2,422.86x = 3,633.84 × 779.42
4. Step 4: Simplify right side
   2,422.86x = 2,832,294.47
5. Step 5: Solve for x
   x = 2,832,294.47/2,422.86
6. Step 6: Final answer
   x = 1,168.99