Finding the Fourth Proportional to 788.58, 1,182.71 and 749.55

Step by Step Solution

1. Step 1: Write the proportion equation
   788.58 : 1,182.71 = 749.55 : x
2. Step 2: Convert to fraction form
   788.58/1,182.71 = 749.55/x
3. Step 3: Cross multiply
   788.58x = 1,182.71 × 749.55
4. Step 4: Simplify right side
   788.58x = 886,500.28
5. Step 5: Solve for x
   x = 886,500.28/788.58
6. Step 6: Final answer
   x = 1,124.17