Finding the Fourth Proportional to 1,152.38, 1,590.31 and 680.39

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.38 : 1,590.31 = 680.39 : x
2. Step 2: Convert to fraction form
   1,152.38/1,590.31 = 680.39/x
3. Step 3: Cross multiply
   1,152.38x = 1,590.31 × 680.39
4. Step 4: Simplify right side
   1,152.38x = 1,082,031.02
5. Step 5: Solve for x
   x = 1,082,031.02/1,152.38
6. Step 6: Final answer
   x = 938.95