Finding the Fourth Proportional to 3,685.02, 5,086.56 and 2,566

Step by Step Solution

1. Step 1: Write the proportion equation
   3,685.02 : 5,086.56 = 2,566 : x
2. Step 2: Convert to fraction form
   3,685.02/5,086.56 = 2,566/x
3. Step 3: Cross multiply
   3,685.02x = 5,086.56 × 2,566
4. Step 4: Simplify right side
   3,685.02x = 13,052,112.96
5. Step 5: Solve for x
   x = 13,052,112.96/3,685.02
6. Step 6: Final answer
   x = 3,541.94