Finding the Fourth Proportional to 1,157.42, 1,596.61 and 709.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,157.42 : 1,596.61 = 709.53 : x
2. Step 2: Convert to fraction form
   1,157.42/1,596.61 = 709.53/x
3. Step 3: Cross multiply
   1,157.42x = 1,596.61 × 709.53
4. Step 4: Simplify right side
   1,157.42x = 1,132,837.59
5. Step 5: Solve for x
   x = 1,132,837.59/1,157.42
6. Step 6: Final answer
   x = 978.76