Finding the Fourth Proportional to 1,013.58, 1,517.94 and 768.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013.58 : 1,517.94 = 768.15 : x
2. Step 2: Convert to fraction form
   1,013.58/1,517.94 = 768.15/x
3. Step 3: Cross multiply
   1,013.58x = 1,517.94 × 768.15
4. Step 4: Simplify right side
   1,013.58x = 1,166,005.61
5. Step 5: Solve for x
   x = 1,166,005.61/1,013.58
6. Step 6: Final answer
   x = 1,150.38