Finding the Fourth Proportional to 1,152.69, 1,590.34 and 680.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.69 : 1,590.34 = 680.74 : x
2. Step 2: Convert to fraction form
   1,152.69/1,590.34 = 680.74/x
3. Step 3: Cross multiply
   1,152.69x = 1,590.34 × 680.74
4. Step 4: Simplify right side
   1,152.69x = 1,082,608.05
5. Step 5: Solve for x
   x = 1,082,608.05/1,152.69
6. Step 6: Final answer
   x = 939.20