Finding the Fourth Proportional to 2,165.87, 3,249.58 and 705.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,165.87 : 3,249.58 = 705.02 : x
2. Step 2: Convert to fraction form
   2,165.87/3,249.58 = 705.02/x
3. Step 3: Cross multiply
   2,165.87x = 3,249.58 × 705.02
4. Step 4: Simplify right side
   2,165.87x = 2,291,018.89
5. Step 5: Solve for x
   x = 2,291,018.89/2,165.87
6. Step 6: Final answer
   x = 1,057.78