Finding the Fourth Proportional to 1,420.95, 1,960.89 and 823.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,420.95 : 1,960.89 = 823.52 : x
2. Step 2: Convert to fraction form
   1,420.95/1,960.89 = 823.52/x
3. Step 3: Cross multiply
   1,420.95x = 1,960.89 × 823.52
4. Step 4: Simplify right side
   1,420.95x = 1,614,832.13
5. Step 5: Solve for x
   x = 1,614,832.13/1,420.95
6. Step 6: Final answer
   x = 1,136.45