Finding the Fourth Proportional to 2,109.66, 3,155.85 and 1,764.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.66 : 3,155.85 = 1,764.06 : x
2. Step 2: Convert to fraction form
   2,109.66/3,155.85 = 1,764.06/x
3. Step 3: Cross multiply
   2,109.66x = 3,155.85 × 1,764.06
4. Step 4: Simplify right side
   2,109.66x = 5,567,108.75
5. Step 5: Solve for x
   x = 5,567,108.75/2,109.66
6. Step 6: Final answer
   x = 2,638.87