Finding the Fourth Proportional to 1,114.69, 1,670.58 and 820.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.69 : 1,670.58 = 820.82 : x
2. Step 2: Convert to fraction form
   1,114.69/1,670.58 = 820.82/x
3. Step 3: Cross multiply
   1,114.69x = 1,670.58 × 820.82
4. Step 4: Simplify right side
   1,114.69x = 1,371,245.48
5. Step 5: Solve for x
   x = 1,371,245.48/1,114.69
6. Step 6: Final answer
   x = 1,230.16