Finding the Fourth Proportional to 1,412.79, 1,949.96 and 823.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.79 : 1,949.96 = 823.67 : x
2. Step 2: Convert to fraction form
   1,412.79/1,949.96 = 823.67/x
3. Step 3: Cross multiply
   1,412.79x = 1,949.96 × 823.67
4. Step 4: Simplify right side
   1,412.79x = 1,606,123.55
5. Step 5: Solve for x
   x = 1,606,123.55/1,412.79
6. Step 6: Final answer
   x = 1,136.85