Finding the Fourth Proportional to 1,042.34, 1,436.78 and 820.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,042.34 : 1,436.78 = 820.94 : x
2. Step 2: Convert to fraction form
   1,042.34/1,436.78 = 820.94/x
3. Step 3: Cross multiply
   1,042.34x = 1,436.78 × 820.94
4. Step 4: Simplify right side
   1,042.34x = 1,179,506.07
5. Step 5: Solve for x
   x = 1,179,506.07/1,042.34
6. Step 6: Final answer
   x = 1,131.59