Finding the Fourth Proportional to 2,077.69, 3,116.59 and 778.45

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.69 : 3,116.59 = 778.45 : x
2. Step 2: Convert to fraction form
   2,077.69/3,116.59 = 778.45/x
3. Step 3: Cross multiply
   2,077.69x = 3,116.59 × 778.45
4. Step 4: Simplify right side
   2,077.69x = 2,426,113.38
5. Step 5: Solve for x
   x = 2,426,113.38/2,077.69
6. Step 6: Final answer
   x = 1,167.70