Finding the Fourth Proportional to 4,091.82, 5,646.71 and 2,228.82

Step by Step Solution

1. Step 1: Write the proportion equation
   4,091.82 : 5,646.71 = 2,228.82 : x
2. Step 2: Convert to fraction form
   4,091.82/5,646.71 = 2,228.82/x
3. Step 3: Cross multiply
   4,091.82x = 5,646.71 × 2,228.82
4. Step 4: Simplify right side
   4,091.82x = 12,585,489.04
5. Step 5: Solve for x
   x = 12,585,489.04/4,091.82
6. Step 6: Final answer
   x = 3,075.77