Finding the Fourth Proportional to 2,627.80, 3,941.33 and 778.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,627.80 : 3,941.33 = 778.84 : x
2. Step 2: Convert to fraction form
   2,627.80/3,941.33 = 778.84/x
3. Step 3: Cross multiply
   2,627.80x = 3,941.33 × 778.84
4. Step 4: Simplify right side
   2,627.80x = 3,069,651.71
5. Step 5: Solve for x
   x = 3,069,651.71/2,627.80
6. Step 6: Final answer
   x = 1,168.15