Finding the Fourth Proportional to 1,182.74, 1,776.06 and 698.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.74 : 1,776.06 = 698.76 : x
2. Step 2: Convert to fraction form
   1,182.74/1,776.06 = 698.76/x
3. Step 3: Cross multiply
   1,182.74x = 1,776.06 × 698.76
4. Step 4: Simplify right side
   1,182.74x = 1,241,039.69
5. Step 5: Solve for x
   x = 1,241,039.69/1,182.74
6. Step 6: Final answer
   x = 1,049.30