Finding the Fourth Proportional to 2,076.87, 3,113.69 and 778.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,076.87 : 3,113.69 = 778.17 : x
2. Step 2: Convert to fraction form
   2,076.87/3,113.69 = 778.17/x
3. Step 3: Cross multiply
   2,076.87x = 3,113.69 × 778.17
4. Step 4: Simplify right side
   2,076.87x = 2,422,976.26
5. Step 5: Solve for x
   x = 2,422,976.26/2,076.87
6. Step 6: Final answer
   x = 1,166.65