Finding the Fourth Proportional to 3,680.74, 5,079.42 and 2,002.12

Step by Step Solution

1. Step 1: Write the proportion equation
   3,680.74 : 5,079.42 = 2,002.12 : x
2. Step 2: Convert to fraction form
   3,680.74/5,079.42 = 2,002.12/x
3. Step 3: Cross multiply
   3,680.74x = 5,079.42 × 2,002.12
4. Step 4: Simplify right side
   3,680.74x = 10,169,608.37
5. Step 5: Solve for x
   x = 10,169,608.37/3,680.74
6. Step 6: Final answer
   x = 2,762.92