Finding the Fourth Proportional to 1,085.94, 1,498.05 and 775.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.94 : 1,498.05 = 775.62 : x
2. Step 2: Convert to fraction form
   1,085.94/1,498.05 = 775.62/x
3. Step 3: Cross multiply
   1,085.94x = 1,498.05 × 775.62
4. Step 4: Simplify right side
   1,085.94x = 1,161,917.54
5. Step 5: Solve for x
   x = 1,161,917.54/1,085.94
6. Step 6: Final answer
   x = 1,069.96