Finding the Fourth Proportional to 1,132.38, 1,697.40 and 766.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,132.38 : 1,697.40 = 766.29 : x
2. Step 2: Convert to fraction form
   1,132.38/1,697.40 = 766.29/x
3. Step 3: Cross multiply
   1,132.38x = 1,697.40 × 766.29
4. Step 4: Simplify right side
   1,132.38x = 1,300,700.65
5. Step 5: Solve for x
   x = 1,300,700.65/1,132.38
6. Step 6: Final answer
   x = 1,148.64