Finding the Fourth Proportional to 3,462.72, 5,193.76 and 865.65

Step by Step Solution

1. Step 1: Write the proportion equation
   3,462.72 : 5,193.76 = 865.65 : x
2. Step 2: Convert to fraction form
   3,462.72/5,193.76 = 865.65/x
3. Step 3: Cross multiply
   3,462.72x = 5,193.76 × 865.65
4. Step 4: Simplify right side
   3,462.72x = 4,495,978.34
5. Step 5: Solve for x
   x = 4,495,978.34/3,462.72
6. Step 6: Final answer
   x = 1,298.40