Finding the Fourth Proportional to 3,678.18, 5,075.82 and 2,106.18

Step by Step Solution

1. Step 1: Write the proportion equation
   3,678.18 : 5,075.82 = 2,106.18 : x
2. Step 2: Convert to fraction form
   3,678.18/5,075.82 = 2,106.18/x
3. Step 3: Cross multiply
   3,678.18x = 5,075.82 × 2,106.18
4. Step 4: Simplify right side
   3,678.18x = 10,690,590.57
5. Step 5: Solve for x
   x = 10,690,590.57/3,678.18
6. Step 6: Final answer
   x = 2,906.49