Finding the Fourth Proportional to 3,665.81, 5,499.72 and 1,584.92

Step by Step Solution

1. Step 1: Write the proportion equation
   3,665.81 : 5,499.72 = 1,584.92 : x
2. Step 2: Convert to fraction form
   3,665.81/5,499.72 = 1,584.92/x
3. Step 3: Cross multiply
   3,665.81x = 5,499.72 × 1,584.92
4. Step 4: Simplify right side
   3,665.81x = 8,716,588.72
5. Step 5: Solve for x
   x = 8,716,588.72/3,665.81
6. Step 6: Final answer
   x = 2,377.81