Finding the Fourth Proportional to 3,188.72, 4,784.69 and 2,257.65

Step by Step Solution

1. Step 1: Write the proportion equation
   3,188.72 : 4,784.69 = 2,257.65 : x
2. Step 2: Convert to fraction form
   3,188.72/4,784.69 = 2,257.65/x
3. Step 3: Cross multiply
   3,188.72x = 4,784.69 × 2,257.65
4. Step 4: Simplify right side
   3,188.72x = 10,802,155.38
5. Step 5: Solve for x
   x = 10,802,155.38/3,188.72
6. Step 6: Final answer
   x = 3,387.61