Finding the Fourth Proportional to 1,151.56, 1,588.66 and 709.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.56 : 1,588.66 = 709.30 : x
2. Step 2: Convert to fraction form
   1,151.56/1,588.66 = 709.30/x
3. Step 3: Cross multiply
   1,151.56x = 1,588.66 × 709.30
4. Step 4: Simplify right side
   1,151.56x = 1,126,836.54
5. Step 5: Solve for x
   x = 1,126,836.54/1,151.56
6. Step 6: Final answer
   x = 978.53