Finding the Fourth Proportional to 3,702.56, 5,109.28 and 2,109

Step by Step Solution

1. Step 1: Write the proportion equation
   3,702.56 : 5,109.28 = 2,109 : x
2. Step 2: Convert to fraction form
   3,702.56/5,109.28 = 2,109/x
3. Step 3: Cross multiply
   3,702.56x = 5,109.28 × 2,109
4. Step 4: Simplify right side
   3,702.56x = 10,775,466.25
5. Step 5: Solve for x
   x = 10,775,466.25/3,702.56
6. Step 6: Final answer
   x = 2,910.28