Finding the Fourth Proportional to 1,012.53, 1,517.94 and 524.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012.53 : 1,517.94 = 524.10 : x
2. Step 2: Convert to fraction form
   1,012.53/1,517.94 = 524.10/x
3. Step 3: Cross multiply
   1,012.53x = 1,517.94 × 524.10
4. Step 4: Simplify right side
   1,012.53x = 795,552.35
5. Step 5: Solve for x
   x = 795,552.35/1,012.53
6. Step 6: Final answer
   x = 785.71