Finding the Fourth Proportional to 10,702.14, 16,049.22 and 3,680.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,702.14 : 16,049.22 = 3,680.17 : x
2. Step 2: Convert to fraction form
   10,702.14/16,049.22 = 3,680.17/x
3. Step 3: Cross multiply
   10,702.14x = 16,049.22 × 3,680.17
4. Step 4: Simplify right side
   10,702.14x = 59,063,759.32
5. Step 5: Solve for x
   x = 59,063,759.32/10,702.14
6. Step 6: Final answer
   x = 5,518.87