Finding the Fourth Proportional to 1,151.67, 1,588.37 and 709.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.67 : 1,588.37 = 709.41 : x
2. Step 2: Convert to fraction form
   1,151.67/1,588.37 = 709.41/x
3. Step 3: Cross multiply
   1,151.67x = 1,588.37 × 709.41
4. Step 4: Simplify right side
   1,151.67x = 1,126,805.56
5. Step 5: Solve for x
   x = 1,126,805.56/1,151.67
6. Step 6: Final answer
   x = 978.41