Finding the Fourth Proportional to 1,086.84, 1,498.38 and 775.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.84 : 1,498.38 = 775.80 : x
2. Step 2: Convert to fraction form
   1,086.84/1,498.38 = 775.80/x
3. Step 3: Cross multiply
   1,086.84x = 1,498.38 × 775.80
4. Step 4: Simplify right side
   1,086.84x = 1,162,443.20
5. Step 5: Solve for x
   x = 1,162,443.20/1,086.84
6. Step 6: Final answer
   x = 1,069.56