Finding the Fourth Proportional to 3,782.69, 5,216.16 and 2,290.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,782.69 : 5,216.16 = 2,290.06 : x
2. Step 2: Convert to fraction form
   3,782.69/5,216.16 = 2,290.06/x
3. Step 3: Cross multiply
   3,782.69x = 5,216.16 × 2,290.06
4. Step 4: Simplify right side
   3,782.69x = 11,945,319.37
5. Step 5: Solve for x
   x = 11,945,319.37/3,782.69
6. Step 6: Final answer
   x = 3,157.89