Finding the Fourth Proportional to 1,146.50, 1,582.17 and 680.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.50 : 1,582.17 = 680.84 : x
2. Step 2: Convert to fraction form
   1,146.50/1,582.17 = 680.84/x
3. Step 3: Cross multiply
   1,146.50x = 1,582.17 × 680.84
4. Step 4: Simplify right side
   1,146.50x = 1,077,204.62
5. Step 5: Solve for x
   x = 1,077,204.62/1,146.50
6. Step 6: Final answer
   x = 939.56