Finding the Fourth Proportional to 1,086.18, 1,498.38 and 775.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.18 : 1,498.38 = 775.86 : x
2. Step 2: Convert to fraction form
   1,086.18/1,498.38 = 775.86/x
3. Step 3: Cross multiply
   1,086.18x = 1,498.38 × 775.86
4. Step 4: Simplify right side
   1,086.18x = 1,162,533.11
5. Step 5: Solve for x
   x = 1,162,533.11/1,086.18
6. Step 6: Final answer
   x = 1,070.30