Finding the Fourth Proportional to 1,151.82, 1,727.86 and 535.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.82 : 1,727.86 = 535.71 : x
2. Step 2: Convert to fraction form
   1,151.82/1,727.86 = 535.71/x
3. Step 3: Cross multiply
   1,151.82x = 1,727.86 × 535.71
4. Step 4: Simplify right side
   1,151.82x = 925,636.52
5. Step 5: Solve for x
   x = 925,636.52/1,151.82
6. Step 6: Final answer
   x = 803.63