Finding the Fourth Proportional to 3,679.00, 5,077.24 and 2,085.71

Step by Step Solution

1. Step 1: Write the proportion equation
   3,679.00 : 5,077.24 = 2,085.71 : x
2. Step 2: Convert to fraction form
   3,679.00/5,077.24 = 2,085.71/x
3. Step 3: Cross multiply
   3,679.00x = 5,077.24 × 2,085.71
4. Step 4: Simplify right side
   3,679.00x = 10,589,639.81
5. Step 5: Solve for x
   x = 10,589,639.81/3,679.00
6. Step 6: Final answer
   x = 2,878.41