Finding the Fourth Proportional to 2,052.25, 2,829.81 and 1,678.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,052.25 : 2,829.81 = 1,678.09 : x
2. Step 2: Convert to fraction form
   2,052.25/2,829.81 = 1,678.09/x
3. Step 3: Cross multiply
   2,052.25x = 2,829.81 × 1,678.09
4. Step 4: Simplify right side
   2,052.25x = 4,748,675.86
5. Step 5: Solve for x
   x = 4,748,675.86/2,052.25
6. Step 6: Final answer
   x = 2,313.89