Finding the Fourth Proportional to 3,685.56, 5,085.96 and 2,006.94

Step by Step Solution

1. Step 1: Write the proportion equation
   3,685.56 : 5,085.96 = 2,006.94 : x
2. Step 2: Convert to fraction form
   3,685.56/5,085.96 = 2,006.94/x
3. Step 3: Cross multiply
   3,685.56x = 5,085.96 × 2,006.94
4. Step 4: Simplify right side
   3,685.56x = 10,207,216.56
5. Step 5: Solve for x
   x = 10,207,216.56/3,685.56
6. Step 6: Final answer
   x = 2,769.52