Finding the Fourth Proportional to 1,012.86, 1,520.24 and 493.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012.86 : 1,520.24 = 493.14 : x
2. Step 2: Convert to fraction form
   1,012.86/1,520.24 = 493.14/x
3. Step 3: Cross multiply
   1,012.86x = 1,520.24 × 493.14
4. Step 4: Simplify right side
   1,012.86x = 749,688.69
5. Step 5: Solve for x
   x = 749,688.69/1,012.86
6. Step 6: Final answer
   x = 740.17