Finding the Fourth Proportional to 3,947.62, 5,928.15 and 3,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,947.62 : 5,928.15 = 3,782.50 : x
2. Step 2: Convert to fraction form
   3,947.62/5,928.15 = 3,782.50/x
3. Step 3: Cross multiply
   3,947.62x = 5,928.15 × 3,782.50
4. Step 4: Simplify right side
   3,947.62x = 22,423,227.38
5. Step 5: Solve for x
   x = 22,423,227.38/3,947.62
6. Step 6: Final answer
   x = 5,680.19