Finding the Fourth Proportional to 1,082.74, 1,493.20 and 709.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082.74 : 1,493.20 = 709.58 : x
2. Step 2: Convert to fraction form
   1,082.74/1,493.20 = 709.58/x
3. Step 3: Cross multiply
   1,082.74x = 1,493.20 × 709.58
4. Step 4: Simplify right side
   1,082.74x = 1,059,546.82
5. Step 5: Solve for x
   x = 1,059,546.82/1,082.74
6. Step 6: Final answer
   x = 978.58