Finding the Fourth Proportional to 1,435.50, 1,981.26 and 814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,435.50 : 1,981.26 = 814.50 : x
2. Step 2: Convert to fraction form
   1,435.50/1,981.26 = 814.50/x
3. Step 3: Cross multiply
   1,435.50x = 1,981.26 × 814.50
4. Step 4: Simplify right side
   1,435.50x = 1,613,736.27
5. Step 5: Solve for x
   x = 1,613,736.27/1,435.50
6. Step 6: Final answer
   x = 1,124.16