Finding the Fourth Proportional to 1,096.58, 1,643.34 and 705.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.58 : 1,643.34 = 705.92 : x
2. Step 2: Convert to fraction form
   1,096.58/1,643.34 = 705.92/x
3. Step 3: Cross multiply
   1,096.58x = 1,643.34 × 705.92
4. Step 4: Simplify right side
   1,096.58x = 1,160,066.57
5. Step 5: Solve for x
   x = 1,160,066.57/1,096.58
6. Step 6: Final answer
   x = 1,057.90