Finding the Fourth Proportional to 3,877.74, 5,826.33 and 3,644.46

Step by Step Solution

1. Step 1: Write the proportion equation
   3,877.74 : 5,826.33 = 3,644.46 : x
2. Step 2: Convert to fraction form
   3,877.74/5,826.33 = 3,644.46/x
3. Step 3: Cross multiply
   3,877.74x = 5,826.33 × 3,644.46
4. Step 4: Simplify right side
   3,877.74x = 21,233,826.63
5. Step 5: Solve for x
   x = 21,233,826.63/3,877.74
6. Step 6: Final answer
   x = 5,475.83