Finding the Fourth Proportional to 1,042.56, 1,438.74 and 576.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,042.56 : 1,438.74 = 576.82 : x
2. Step 2: Convert to fraction form
   1,042.56/1,438.74 = 576.82/x
3. Step 3: Cross multiply
   1,042.56x = 1,438.74 × 576.82
4. Step 4: Simplify right side
   1,042.56x = 829,894.01
5. Step 5: Solve for x
   x = 829,894.01/1,042.56
6. Step 6: Final answer
   x = 796.02