Finding the Fourth Proportional to 1,151.93, 1,589.15 and 709.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.93 : 1,589.15 = 709.57 : x
2. Step 2: Convert to fraction form
   1,151.93/1,589.15 = 709.57/x
3. Step 3: Cross multiply
   1,151.93x = 1,589.15 × 709.57
4. Step 4: Simplify right side
   1,151.93x = 1,127,613.17
5. Step 5: Solve for x
   x = 1,127,613.17/1,151.93
6. Step 6: Final answer
   x = 978.89