Finding the Fourth Proportional to 3,776.29, 5,638.98 and 3,084.30

Step by Step Solution

1. Step 1: Write the proportion equation
   3,776.29 : 5,638.98 = 3,084.30 : x
2. Step 2: Convert to fraction form
   3,776.29/5,638.98 = 3,084.30/x
3. Step 3: Cross multiply
   3,776.29x = 5,638.98 × 3,084.30
4. Step 4: Simplify right side
   3,776.29x = 17,392,306.01
5. Step 5: Solve for x
   x = 17,392,306.01/3,776.29
6. Step 6: Final answer
   x = 4,605.66