Finding the Fourth Proportional to 3,665.15, 5,498.12 and 1,585.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,665.15 : 5,498.12 = 1,585.38 : x
2. Step 2: Convert to fraction form
   3,665.15/5,498.12 = 1,585.38/x
3. Step 3: Cross multiply
   3,665.15x = 5,498.12 × 1,585.38
4. Step 4: Simplify right side
   3,665.15x = 8,716,613.45
5. Step 5: Solve for x
   x = 8,716,613.45/3,665.15
6. Step 6: Final answer
   x = 2,378.25