Finding the Fourth Proportional to 2,077.32, 3,116.58 and 778.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.32 : 3,116.58 = 778.89 : x
2. Step 2: Convert to fraction form
   2,077.32/3,116.58 = 778.89/x
3. Step 3: Cross multiply
   2,077.32x = 3,116.58 × 778.89
4. Step 4: Simplify right side
   2,077.32x = 2,427,473.00
5. Step 5: Solve for x
   x = 2,427,473.00/2,077.32
6. Step 6: Final answer
   x = 1,168.56