Finding the Fourth Proportional to 2,422.72, 3,633.18 and 778.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,422.72 : 3,633.18 = 778.84 : x
2. Step 2: Convert to fraction form
   2,422.72/3,633.18 = 778.84/x
3. Step 3: Cross multiply
   2,422.72x = 3,633.18 × 778.84
4. Step 4: Simplify right side
   2,422.72x = 2,829,665.91
5. Step 5: Solve for x
   x = 2,829,665.91/2,422.72
6. Step 6: Final answer
   x = 1,167.97