Finding the Fourth Proportional to 1,354.86, 1,868.37 and 823.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,354.86 : 1,868.37 = 823.83 : x
2. Step 2: Convert to fraction form
   1,354.86/1,868.37 = 823.83/x
3. Step 3: Cross multiply
   1,354.86x = 1,868.37 × 823.83
4. Step 4: Simplify right side
   1,354.86x = 1,539,219.26
5. Step 5: Solve for x
   x = 1,539,219.26/1,354.86
6. Step 6: Final answer
   x = 1,136.07