Finding the Fourth Proportional to 3,678.10, 5,074.51 and 2,084.52

Step by Step Solution

1. Step 1: Write the proportion equation
   3,678.10 : 5,074.51 = 2,084.52 : x
2. Step 2: Convert to fraction form
   3,678.10/5,074.51 = 2,084.52/x
3. Step 3: Cross multiply
   3,678.10x = 5,074.51 × 2,084.52
4. Step 4: Simplify right side
   3,678.10x = 10,577,917.59
5. Step 5: Solve for x
   x = 10,577,917.59/3,678.10
6. Step 6: Final answer
   x = 2,875.92