Finding the Fourth Proportional to 1,540.50, 2,311.05 and 674.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.50 : 2,311.05 = 674.82 : x
2. Step 2: Convert to fraction form
   1,540.50/2,311.05 = 674.82/x
3. Step 3: Cross multiply
   1,540.50x = 2,311.05 × 674.82
4. Step 4: Simplify right side
   1,540.50x = 1,559,542.76
5. Step 5: Solve for x
   x = 1,559,542.76/1,540.50
6. Step 6: Final answer
   x = 1,012.36