Finding the Fourth Proportional to 3,815.60, 5,723.55 and 1,042.37

Step by Step Solution

1. Step 1: Write the proportion equation
   3,815.60 : 5,723.55 = 1,042.37 : x
2. Step 2: Convert to fraction form
   3,815.60/5,723.55 = 1,042.37/x
3. Step 3: Cross multiply
   3,815.60x = 5,723.55 × 1,042.37
4. Step 4: Simplify right side
   3,815.60x = 5,966,056.81
5. Step 5: Solve for x
   x = 5,966,056.81/3,815.60
6. Step 6: Final answer
   x = 1,563.60