Finding the Fourth Proportional to 3,815.82, 5,723.80 and 1,042.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,815.82 : 5,723.80 = 1,042.78 : x
2. Step 2: Convert to fraction form
   3,815.82/5,723.80 = 1,042.78/x
3. Step 3: Cross multiply
   3,815.82x = 5,723.80 × 1,042.78
4. Step 4: Simplify right side
   3,815.82x = 5,968,664.16
5. Step 5: Solve for x
   x = 5,968,664.16/3,815.82
6. Step 6: Final answer
   x = 1,564.19