Finding the Fourth Proportional to 3,462.57, 5,193.83 and 865.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,462.57 : 5,193.83 = 865.50 : x
2. Step 2: Convert to fraction form
   3,462.57/5,193.83 = 865.50/x
3. Step 3: Cross multiply
   3,462.57x = 5,193.83 × 865.50
4. Step 4: Simplify right side
   3,462.57x = 4,495,255.54
5. Step 5: Solve for x
   x = 4,495,255.54/3,462.57
6. Step 6: Final answer
   x = 1,298.24