Finding the Fourth Proportional to 1,082.50, 1,493.40 and 709.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082.50 : 1,493.40 = 709.02 : x
2. Step 2: Convert to fraction form
   1,082.50/1,493.40 = 709.02/x
3. Step 3: Cross multiply
   1,082.50x = 1,493.40 × 709.02
4. Step 4: Simplify right side
   1,082.50x = 1,058,850.47
5. Step 5: Solve for x
   x = 1,058,850.47/1,082.50
6. Step 6: Final answer
   x = 978.15