Finding the Fourth Proportional to 1,146.72, 1,716.18 and 824.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.72 : 1,716.18 = 824.22 : x
2. Step 2: Convert to fraction form
   1,146.72/1,716.18 = 824.22/x
3. Step 3: Cross multiply
   1,146.72x = 1,716.18 × 824.22
4. Step 4: Simplify right side
   1,146.72x = 1,414,509.88
5. Step 5: Solve for x
   x = 1,414,509.88/1,146.72
6. Step 6: Final answer
   x = 1,233.53