Finding the Fourth Proportional to 1,100.54, 1,519.59 and 823.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.54 : 1,519.59 = 823.91 : x
2. Step 2: Convert to fraction form
   1,100.54/1,519.59 = 823.91/x
3. Step 3: Cross multiply
   1,100.54x = 1,519.59 × 823.91
4. Step 4: Simplify right side
   1,100.54x = 1,252,005.40
5. Step 5: Solve for x
   x = 1,252,005.40/1,100.54
6. Step 6: Final answer
   x = 1,137.63