Finding the Fourth Proportional to 3,802, 5,702.46 and 1,336.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,802 : 5,702.46 = 1,336.72 : x
2. Step 2: Convert to fraction form
   3,802/5,702.46 = 1,336.72/x
3. Step 3: Cross multiply
   3,802x = 5,702.46 × 1,336.72
4. Step 4: Simplify right side
   3,802x = 7,622,592.33
5. Step 5: Solve for x
   x = 7,622,592.33/3,802
6. Step 6: Final answer
   x = 2,004.89