Finding the Fourth Proportional to 1,152.50, 1,728.91 and 535.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.50 : 1,728.91 = 535.89 : x
2. Step 2: Convert to fraction form
   1,152.50/1,728.91 = 535.89/x
3. Step 3: Cross multiply
   1,152.50x = 1,728.91 × 535.89
4. Step 4: Simplify right side
   1,152.50x = 926,505.58
5. Step 5: Solve for x
   x = 926,505.58/1,152.50
6. Step 6: Final answer
   x = 803.91