Finding the Fourth Proportional to 1,146.34, 1,581.78 and 680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.34 : 1,581.78 = 680.50 : x
2. Step 2: Convert to fraction form
   1,146.34/1,581.78 = 680.50/x
3. Step 3: Cross multiply
   1,146.34x = 1,581.78 × 680.50
4. Step 4: Simplify right side
   1,146.34x = 1,076,401.29
5. Step 5: Solve for x
   x = 1,076,401.29/1,146.34
6. Step 6: Final answer
   x = 938.99