Finding the Fourth Proportional to 2,009.75, 2,767.42 and 1,677.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,009.75 : 2,767.42 = 1,677.60 : x
2. Step 2: Convert to fraction form
   2,009.75/2,767.42 = 1,677.60/x
3. Step 3: Cross multiply
   2,009.75x = 2,767.42 × 1,677.60
4. Step 4: Simplify right side
   2,009.75x = 4,642,625.89
5. Step 5: Solve for x
   x = 4,642,625.89/2,009.75
6. Step 6: Final answer
   x = 2,310.06