Finding the Fourth Proportional to 1,152.72, 1,729.48 and 503.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.72 : 1,729.48 = 503.50 : x
2. Step 2: Convert to fraction form
   1,152.72/1,729.48 = 503.50/x
3. Step 3: Cross multiply
   1,152.72x = 1,729.48 × 503.50
4. Step 4: Simplify right side
   1,152.72x = 870,793.18
5. Step 5: Solve for x
   x = 870,793.18/1,152.72
6. Step 6: Final answer
   x = 755.42