Finding the Fourth Proportional to 1,321.52, 1,822.91 and 823.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,321.52 : 1,822.91 = 823.77 : x
2. Step 2: Convert to fraction form
   1,321.52/1,822.91 = 823.77/x
3. Step 3: Cross multiply
   1,321.52x = 1,822.91 × 823.77
4. Step 4: Simplify right side
   1,321.52x = 1,501,654.45
5. Step 5: Solve for x
   x = 1,501,654.45/1,321.52
6. Step 6: Final answer
   x = 1,136.31