Finding the Fourth Proportional to 2,167.50, 3,249.60 and 705.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,167.50 : 3,249.60 = 705.78 : x
2. Step 2: Convert to fraction form
   2,167.50/3,249.60 = 705.78/x
3. Step 3: Cross multiply
   2,167.50x = 3,249.60 × 705.78
4. Step 4: Simplify right side
   2,167.50x = 2,293,502.69
5. Step 5: Solve for x
   x = 2,293,502.69/2,167.50
6. Step 6: Final answer
   x = 1,058.13