Finding the Fourth Proportional to 1,150.98, 1,588.49 and 709.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.98 : 1,588.49 = 709.01 : x
2. Step 2: Convert to fraction form
   1,150.98/1,588.49 = 709.01/x
3. Step 3: Cross multiply
   1,150.98x = 1,588.49 × 709.01
4. Step 4: Simplify right side
   1,150.98x = 1,126,255.29
5. Step 5: Solve for x
   x = 1,126,255.29/1,150.98
6. Step 6: Final answer
   x = 978.52