Finding the Fourth Proportional to 3,678.68, 5,075.94 and 2,085.00

Step by Step Solution

1. Step 1: Write the proportion equation
   3,678.68 : 5,075.94 = 2,085.00 : x
2. Step 2: Convert to fraction form
   3,678.68/5,075.94 = 2,085.00/x
3. Step 3: Cross multiply
   3,678.68x = 5,075.94 × 2,085.00
4. Step 4: Simplify right side
   3,678.68x = 10,583,309.52
5. Step 5: Solve for x
   x = 10,583,309.52/3,678.68
6. Step 6: Final answer
   x = 2,876.93