Finding the Fourth Proportional to 1,082.34, 1,493.76 and 709.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082.34 : 1,493.76 = 709.65 : x
2. Step 2: Convert to fraction form
   1,082.34/1,493.76 = 709.65/x
3. Step 3: Cross multiply
   1,082.34x = 1,493.76 × 709.65
4. Step 4: Simplify right side
   1,082.34x = 1,060,046.78
5. Step 5: Solve for x
   x = 1,060,046.78/1,082.34
6. Step 6: Final answer
   x = 979.40