Finding the Fourth Proportional to 3,678.18, 5,075.25 and 2,084.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,678.18 : 5,075.25 = 2,084.50 : x
2. Step 2: Convert to fraction form
   3,678.18/5,075.25 = 2,084.50/x
3. Step 3: Cross multiply
   3,678.18x = 5,075.25 × 2,084.50
4. Step 4: Simplify right side
   3,678.18x = 10,579,333.25
5. Step 5: Solve for x
   x = 10,579,333.25/3,678.18
6. Step 6: Final answer
   x = 2,876.24