Finding the Fourth Proportional to 1,012.84, 1,517.82 and 500.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012.84 : 1,517.82 = 500.20 : x
2. Step 2: Convert to fraction form
   1,012.84/1,517.82 = 500.20/x
3. Step 3: Cross multiply
   1,012.84x = 1,517.82 × 500.20
4. Step 4: Simplify right side
   1,012.84x = 759,213.56
5. Step 5: Solve for x
   x = 759,213.56/1,012.84
6. Step 6: Final answer
   x = 749.59