Finding the Fourth Proportional to 3,678.52, 5,075.23 and 2,084.91

Step by Step Solution

1. Step 1: Write the proportion equation
   3,678.52 : 5,075.23 = 2,084.91 : x
2. Step 2: Convert to fraction form
   3,678.52/5,075.23 = 2,084.91/x
3. Step 3: Cross multiply
   3,678.52x = 5,075.23 × 2,084.91
4. Step 4: Simplify right side
   3,678.52x = 10,581,386.96
5. Step 5: Solve for x
   x = 10,581,386.96/3,678.52
6. Step 6: Final answer
   x = 2,876.54