Finding the Fourth Proportional to 3,877.31, 5,815.56 and 2,296.19

Step by Step Solution

1. Step 1: Write the proportion equation
   3,877.31 : 5,815.56 = 2,296.19 : x
2. Step 2: Convert to fraction form
   3,877.31/5,815.56 = 2,296.19/x
3. Step 3: Cross multiply
   3,877.31x = 5,815.56 × 2,296.19
4. Step 4: Simplify right side
   3,877.31x = 13,353,630.72
5. Step 5: Solve for x
   x = 13,353,630.72/3,877.31
6. Step 6: Final answer
   x = 3,444.05