Finding the Fourth Proportional to 1,146.50, 1,581.54 and 815.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.50 : 1,581.54 = 815.42 : x
2. Step 2: Convert to fraction form
   1,146.50/1,581.54 = 815.42/x
3. Step 3: Cross multiply
   1,146.50x = 1,581.54 × 815.42
4. Step 4: Simplify right side
   1,146.50x = 1,289,619.35
5. Step 5: Solve for x
   x = 1,289,619.35/1,146.50
6. Step 6: Final answer
   x = 1,124.83