Finding the Fourth Proportional to 3,916.50, 5,404.77 and 2,261.46

Step by Step Solution

1. Step 1: Write the proportion equation
   3,916.50 : 5,404.77 = 2,261.46 : x
2. Step 2: Convert to fraction form
   3,916.50/5,404.77 = 2,261.46/x
3. Step 3: Cross multiply
   3,916.50x = 5,404.77 × 2,261.46
4. Step 4: Simplify right side
   3,916.50x = 12,222,671.16
5. Step 5: Solve for x
   x = 12,222,671.16/3,916.50
6. Step 6: Final answer
   x = 3,120.81