Finding the Fourth Proportional to 3,584.20, 4,947.32 and 2,092.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,584.20 : 4,947.32 = 2,092.72 : x
2. Step 2: Convert to fraction form
   3,584.20/4,947.32 = 2,092.72/x
3. Step 3: Cross multiply
   3,584.20x = 4,947.32 × 2,092.72
4. Step 4: Simplify right side
   3,584.20x = 10,353,355.51
5. Step 5: Solve for x
   x = 10,353,355.51/3,584.20
6. Step 6: Final answer
   x = 2,888.61