Finding the Fourth Proportional to 2,076.86, 3,116.64 and 778.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,076.86 : 3,116.64 = 778.32 : x
2. Step 2: Convert to fraction form
   2,076.86/3,116.64 = 778.32/x
3. Step 3: Cross multiply
   2,076.86x = 3,116.64 × 778.32
4. Step 4: Simplify right side
   2,076.86x = 2,425,743.24
5. Step 5: Solve for x
   x = 2,425,743.24/2,076.86
6. Step 6: Final answer
   x = 1,167.99