Finding the Fourth Proportional to 1,152.77, 1,590.77 and 680.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.77 : 1,590.77 = 680.82 : x
2. Step 2: Convert to fraction form
   1,152.77/1,590.77 = 680.82/x
3. Step 3: Cross multiply
   1,152.77x = 1,590.77 × 680.82
4. Step 4: Simplify right side
   1,152.77x = 1,083,021.78
5. Step 5: Solve for x
   x = 1,083,021.78/1,152.77
6. Step 6: Final answer
   x = 939.50