Finding the Fourth Proportional to 1,045.72, 1,442.79 and 823.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,045.72 : 1,442.79 = 823.96 : x
2. Step 2: Convert to fraction form
   1,045.72/1,442.79 = 823.96/x
3. Step 3: Cross multiply
   1,045.72x = 1,442.79 × 823.96
4. Step 4: Simplify right side
   1,045.72x = 1,188,801.25
5. Step 5: Solve for x
   x = 1,188,801.25/1,045.72
6. Step 6: Final answer
   x = 1,136.83