Finding the Fourth Proportional to 3,682.50, 5,081.86 and 2,026.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,682.50 : 5,081.86 = 2,026.50 : x
2. Step 2: Convert to fraction form
   3,682.50/5,081.86 = 2,026.50/x
3. Step 3: Cross multiply
   3,682.50x = 5,081.86 × 2,026.50
4. Step 4: Simplify right side
   3,682.50x = 10,298,389.29
5. Step 5: Solve for x
   x = 10,298,389.29/3,682.50
6. Step 6: Final answer
   x = 2,796.58