Finding the Fourth Proportional to 3,665.84, 5,494.50 and 2,086.02

Step by Step Solution

1. Step 1: Write the proportion equation
   3,665.84 : 5,494.50 = 2,086.02 : x
2. Step 2: Convert to fraction form
   3,665.84/5,494.50 = 2,086.02/x
3. Step 3: Cross multiply
   3,665.84x = 5,494.50 × 2,086.02
4. Step 4: Simplify right side
   3,665.84x = 11,461,636.89
5. Step 5: Solve for x
   x = 11,461,636.89/3,665.84
6. Step 6: Final answer
   x = 3,126.61