Finding the Fourth Proportional to 788.32, 1,175.59 and 769.69

Step by Step Solution

1. Step 1: Write the proportion equation
   788.32 : 1,175.59 = 769.69 : x
2. Step 2: Convert to fraction form
   788.32/1,175.59 = 769.69/x
3. Step 3: Cross multiply
   788.32x = 1,175.59 × 769.69
4. Step 4: Simplify right side
   788.32x = 904,836.02
5. Step 5: Solve for x
   x = 904,836.02/788.32
6. Step 6: Final answer
   x = 1,147.80