Finding the Fourth Proportional to 3,665.20, 5,499.34 and 1,584.14

Step by Step Solution

1. Step 1: Write the proportion equation
   3,665.20 : 5,499.34 = 1,584.14 : x
2. Step 2: Convert to fraction form
   3,665.20/5,499.34 = 1,584.14/x
3. Step 3: Cross multiply
   3,665.20x = 5,499.34 × 1,584.14
4. Step 4: Simplify right side
   3,665.20x = 8,711,732.86
5. Step 5: Solve for x
   x = 8,711,732.86/3,665.20
6. Step 6: Final answer
   x = 2,376.88