Finding the Fourth Proportional to 1,321.42, 1,823.56 and 824.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,321.42 : 1,823.56 = 824.06 : x
2. Step 2: Convert to fraction form
   1,321.42/1,823.56 = 824.06/x
3. Step 3: Cross multiply
   1,321.42x = 1,823.56 × 824.06
4. Step 4: Simplify right side
   1,321.42x = 1,502,722.85
5. Step 5: Solve for x
   x = 1,502,722.85/1,321.42
6. Step 6: Final answer
   x = 1,137.20