Finding the Fourth Proportional to 3,930.78, 5,889.24 and 2,077.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,930.78 : 5,889.24 = 2,077.82 : x
2. Step 2: Convert to fraction form
   3,930.78/5,889.24 = 2,077.82/x
3. Step 3: Cross multiply
   3,930.78x = 5,889.24 × 2,077.82
4. Step 4: Simplify right side
   3,930.78x = 12,236,773.30
5. Step 5: Solve for x
   x = 12,236,773.30/3,930.78
6. Step 6: Final answer
   x = 3,113.07