Finding the Fourth Proportional to 3,702.27, 5,109.58 and 2,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,702.27 : 5,109.58 = 2,109.50 : x
2. Step 2: Convert to fraction form
   3,702.27/5,109.58 = 2,109.50/x
3. Step 3: Cross multiply
   3,702.27x = 5,109.58 × 2,109.50
4. Step 4: Simplify right side
   3,702.27x = 10,778,659.01
5. Step 5: Solve for x
   x = 10,778,659.01/3,702.27
6. Step 6: Final answer
   x = 2,911.36