Finding the Fourth Proportional to 1,311.56, 1,968.06 and 824.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,311.56 : 1,968.06 = 824.52 : x
2. Step 2: Convert to fraction form
   1,311.56/1,968.06 = 824.52/x
3. Step 3: Cross multiply
   1,311.56x = 1,968.06 × 824.52
4. Step 4: Simplify right side
   1,311.56x = 1,622,704.83
5. Step 5: Solve for x
   x = 1,622,704.83/1,311.56
6. Step 6: Final answer
   x = 1,237.23