Finding the Fourth Proportional to 3,461.37, 5,191.98 and 864.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,461.37 : 5,191.98 = 864.31 : x
2. Step 2: Convert to fraction form
   3,461.37/5,191.98 = 864.31/x
3. Step 3: Cross multiply
   3,461.37x = 5,191.98 × 864.31
4. Step 4: Simplify right side
   3,461.37x = 4,487,480.23
5. Step 5: Solve for x
   x = 4,487,480.23/3,461.37
6. Step 6: Final answer
   x = 1,296.45