Finding the Fourth Proportional to 3,665.62, 5,498.35 and 892.32

Step by Step Solution

1. Step 1: Write the proportion equation
   3,665.62 : 5,498.35 = 892.32 : x
2. Step 2: Convert to fraction form
   3,665.62/5,498.35 = 892.32/x
3. Step 3: Cross multiply
   3,665.62x = 5,498.35 × 892.32
4. Step 4: Simplify right side
   3,665.62x = 4,906,264.82
5. Step 5: Solve for x
   x = 4,906,264.82/3,665.62
6. Step 6: Final answer
   x = 1,338.45