Finding the Fourth Proportional to 1,152.53, 1,590.61 and 680.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.53 : 1,590.61 = 680.57 : x
2. Step 2: Convert to fraction form
   1,152.53/1,590.61 = 680.57/x
3. Step 3: Cross multiply
   1,152.53x = 1,590.61 × 680.57
4. Step 4: Simplify right side
   1,152.53x = 1,082,521.45
5. Step 5: Solve for x
   x = 1,082,521.45/1,152.53
6. Step 6: Final answer
   x = 939.26