Finding the Fourth Proportional to 1,117.69, 1,542.42 and 768.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,117.69 : 1,542.42 = 768.58 : x
2. Step 2: Convert to fraction form
   1,117.69/1,542.42 = 768.58/x
3. Step 3: Cross multiply
   1,117.69x = 1,542.42 × 768.58
4. Step 4: Simplify right side
   1,117.69x = 1,185,469.31
5. Step 5: Solve for x
   x = 1,185,469.31/1,117.69
6. Step 6: Final answer
   x = 1,060.64