Finding the Fourth Proportional to 2,009, 2,773.50 and 1,346.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,009 : 2,773.50 = 1,346.78 : x
2. Step 2: Convert to fraction form
   2,009/2,773.50 = 1,346.78/x
3. Step 3: Cross multiply
   2,009x = 2,773.50 × 1,346.78
4. Step 4: Simplify right side
   2,009x = 3,735,294.33
5. Step 5: Solve for x
   x = 3,735,294.33/2,009
6. Step 6: Final answer
   x = 1,859.28