Finding the Fourth Proportional to 10,456.38, 15,686.16 and 3,793.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456.38 : 15,686.16 = 3,793.41 : x
2. Step 2: Convert to fraction form
   10,456.38/15,686.16 = 3,793.41/x
3. Step 3: Cross multiply
   10,456.38x = 15,686.16 × 3,793.41
4. Step 4: Simplify right side
   10,456.38x = 59,504,036.21
5. Step 5: Solve for x
   x = 59,504,036.21/10,456.38
6. Step 6: Final answer
   x = 5,690.69