Finding the Fourth Proportional to 1,315.34, 1,971.75 and 493.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,315.34 : 1,971.75 = 493.42 : x
2. Step 2: Convert to fraction form
   1,315.34/1,971.75 = 493.42/x
3. Step 3: Cross multiply
   1,315.34x = 1,971.75 × 493.42
4. Step 4: Simplify right side
   1,315.34x = 972,900.89
5. Step 5: Solve for x
   x = 972,900.89/1,315.34
6. Step 6: Final answer
   x = 739.66