Finding the Fourth Proportional to 1,314.74, 1,971.50 and 492.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,314.74 : 1,971.50 = 492.42 : x
2. Step 2: Convert to fraction form
   1,314.74/1,971.50 = 492.42/x
3. Step 3: Cross multiply
   1,314.74x = 1,971.50 × 492.42
4. Step 4: Simplify right side
   1,314.74x = 970,803.57
5. Step 5: Solve for x
   x = 970,803.57/1,314.74
6. Step 6: Final answer
   x = 738.40