Finding the Fourth Proportional to 1,100.58, 1,519.11 and 820.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.58 : 1,519.11 = 820.86 : x
2. Step 2: Convert to fraction form
   1,100.58/1,519.11 = 820.86/x
3. Step 3: Cross multiply
   1,100.58x = 1,519.11 × 820.86
4. Step 4: Simplify right side
   1,100.58x = 1,246,976.63
5. Step 5: Solve for x
   x = 1,246,976.63/1,100.58
6. Step 6: Final answer
   x = 1,133.02