Finding the Fourth Proportional to 3,665.71, 5,498.49 and 892.40

Step by Step Solution

1. Step 1: Write the proportion equation
   3,665.71 : 5,498.49 = 892.40 : x
2. Step 2: Convert to fraction form
   3,665.71/5,498.49 = 892.40/x
3. Step 3: Cross multiply
   3,665.71x = 5,498.49 × 892.40
4. Step 4: Simplify right side
   3,665.71x = 4,906,820.52
5. Step 5: Solve for x
   x = 4,906,820.52/3,665.71
6. Step 6: Final answer
   x = 1,338.57