Finding the Fourth Proportional to 1,114.89, 1,678.86 and 824.44

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.89 : 1,678.86 = 824.44 : x
2. Step 2: Convert to fraction form
   1,114.89/1,678.86 = 824.44/x
3. Step 3: Cross multiply
   1,114.89x = 1,678.86 × 824.44
4. Step 4: Simplify right side
   1,114.89x = 1,384,120.45
5. Step 5: Solve for x
   x = 1,384,120.45/1,114.89
6. Step 6: Final answer
   x = 1,241.48