Finding the Fourth Proportional to 1,131.76, 1,696.56 and 765.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,131.76 : 1,696.56 = 765.64 : x
2. Step 2: Convert to fraction form
   1,131.76/1,696.56 = 765.64/x
3. Step 3: Cross multiply
   1,131.76x = 1,696.56 × 765.64
4. Step 4: Simplify right side
   1,131.76x = 1,298,954.20
5. Step 5: Solve for x
   x = 1,298,954.20/1,131.76
6. Step 6: Final answer
   x = 1,147.73