Finding the Fourth Proportional to 1,420.99, 1,960.92 and 823.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,420.99 : 1,960.92 = 823.59 : x
2. Step 2: Convert to fraction form
   1,420.99/1,960.92 = 823.59/x
3. Step 3: Cross multiply
   1,420.99x = 1,960.92 × 823.59
4. Step 4: Simplify right side
   1,420.99x = 1,614,994.10
5. Step 5: Solve for x
   x = 1,614,994.10/1,420.99
6. Step 6: Final answer
   x = 1,136.53