Finding the Fourth Proportional to 2,422.02, 3,632.12 and 778.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,422.02 : 3,632.12 = 778.14 : x
2. Step 2: Convert to fraction form
   2,422.02/3,632.12 = 778.14/x
3. Step 3: Cross multiply
   2,422.02x = 3,632.12 × 778.14
4. Step 4: Simplify right side
   2,422.02x = 2,826,297.86
5. Step 5: Solve for x
   x = 2,826,297.86/2,422.02
6. Step 6: Final answer
   x = 1,166.92