Finding the Fourth Proportional to 3,775.50, 5,662.17 and 1,584.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,775.50 : 5,662.17 = 1,584.72 : x
2. Step 2: Convert to fraction form
   3,775.50/5,662.17 = 1,584.72/x
3. Step 3: Cross multiply
   3,775.50x = 5,662.17 × 1,584.72
4. Step 4: Simplify right side
   3,775.50x = 8,972,954.04
5. Step 5: Solve for x
   x = 8,972,954.04/3,775.50
6. Step 6: Final answer
   x = 2,376.63