Finding the Fourth Proportional to 1,314.72, 1,971.64 and 492.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,314.72 : 1,971.64 = 492.48 : x
2. Step 2: Convert to fraction form
   1,314.72/1,971.64 = 492.48/x
3. Step 3: Cross multiply
   1,314.72x = 1,971.64 × 492.48
4. Step 4: Simplify right side
   1,314.72x = 970,993.27
5. Step 5: Solve for x
   x = 970,993.27/1,314.72
6. Step 6: Final answer
   x = 738.56