Finding the Fourth Proportional to 1,066.50, 1,599.33 and 676.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.50 : 1,599.33 = 676.76 : x
2. Step 2: Convert to fraction form
   1,066.50/1,599.33 = 676.76/x
3. Step 3: Cross multiply
   1,066.50x = 1,599.33 × 676.76
4. Step 4: Simplify right side
   1,066.50x = 1,082,354.57
5. Step 5: Solve for x
   x = 1,082,354.57/1,066.50
6. Step 6: Final answer
   x = 1,014.87