Finding the Fourth Proportional to 1,151.75, 1,587.83 and 819.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.75 : 1,587.83 = 819.59 : x
2. Step 2: Convert to fraction form
   1,151.75/1,587.83 = 819.59/x
3. Step 3: Cross multiply
   1,151.75x = 1,587.83 × 819.59
4. Step 4: Simplify right side
   1,151.75x = 1,301,357.55
5. Step 5: Solve for x
   x = 1,301,357.55/1,151.75
6. Step 6: Final answer
   x = 1,129.89