Finding the Fourth Proportional to 726, 1,002.71 and 492.72

Step by Step Solution

1. Step 1: Write the proportion equation
   726 : 1,002.71 = 492.72 : x
2. Step 2: Convert to fraction form
   726/1,002.71 = 492.72/x
3. Step 3: Cross multiply
   726x = 1,002.71 × 492.72
4. Step 4: Simplify right side
   726x = 494,055.27
5. Step 5: Solve for x
   x = 494,055.27/726
6. Step 6: Final answer
   x = 680.52