Finding the Fourth Proportional to 1,153.50, 1,729.86 and 495.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.50 : 1,729.86 = 495.35 : x
2. Step 2: Convert to fraction form
   1,153.50/1,729.86 = 495.35/x
3. Step 3: Cross multiply
   1,153.50x = 1,729.86 × 495.35
4. Step 4: Simplify right side
   1,153.50x = 856,886.15
5. Step 5: Solve for x
   x = 856,886.15/1,153.50
6. Step 6: Final answer
   x = 742.86