Finding the Fourth Proportional to 1,216.98, 1,679.81 and 824.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,216.98 : 1,679.81 = 824.00 : x
2. Step 2: Convert to fraction form
   1,216.98/1,679.81 = 824.00/x
3. Step 3: Cross multiply
   1,216.98x = 1,679.81 × 824.00
4. Step 4: Simplify right side
   1,216.98x = 1,384,150.92
5. Step 5: Solve for x
   x = 1,384,150.92/1,216.98
6. Step 6: Final answer
   x = 1,137.37