Finding the Fourth Proportional to 3,685.36, 5,085.68 and 2,006.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,685.36 : 5,085.68 = 2,006.72 : x
2. Step 2: Convert to fraction form
   3,685.36/5,085.68 = 2,006.72/x
3. Step 3: Cross multiply
   3,685.36x = 5,085.68 × 2,006.72
4. Step 4: Simplify right side
   3,685.36x = 10,205,535.77
5. Step 5: Solve for x
   x = 10,205,535.77/3,685.36
6. Step 6: Final answer
   x = 2,769.21