Finding the Fourth Proportional to 2,422.31, 3,634.07 and 778.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,422.31 : 3,634.07 = 778.82 : x
2. Step 2: Convert to fraction form
   2,422.31/3,634.07 = 778.82/x
3. Step 3: Cross multiply
   2,422.31x = 3,634.07 × 778.82
4. Step 4: Simplify right side
   2,422.31x = 2,830,264.33
5. Step 5: Solve for x
   x = 2,830,264.33/2,422.31
6. Step 6: Final answer
   x = 1,168.42