Finding the Fourth Proportional to 1,151.34, 1,727.52 and 535.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.34 : 1,727.52 = 535.50 : x
2. Step 2: Convert to fraction form
   1,151.34/1,727.52 = 535.50/x
3. Step 3: Cross multiply
   1,151.34x = 1,727.52 × 535.50
4. Step 4: Simplify right side
   1,151.34x = 925,086.96
5. Step 5: Solve for x
   x = 925,086.96/1,151.34
6. Step 6: Final answer
   x = 803.49